# random

4,609 results, page 29

### statistics

A 4 to 7 month old baby sleeps an average of 14 hours per day. At this age, babies sleep patterns follow normal distribution with the standard deviation of 1.6 a) is it unusual for a baby to sleep under 12 hours aday? b) In a random sample of 10 babies of this age,find the ...

### Statistics

Suppose a random family of four is selected (two parents and two children). Suppose further that you are told one of the two children is a girl. Given that this family has at least one daughter, what is the conditional probability that it also has a son? (HINT: write out the ...

### sssc

Suppose we test H0 : p = .3 versus Ha : p ≠ .3 and that a random sample of n = 100 gives a sample proportion p = .20. a: Test H0 versus Ha at the .01 level of significance by using critical values. What do you conclude? b: Find the p-value for this test. c: Use the p-...

### Statistics

Given that x is a normally distributed random variable with a mean of 28 and a standard deviation of 7, find the following probability: P(x<28) I understand that the means is 28 and the standard deviation is 7. However what I don't understand is how to get the value of x. ...

### statistics

suppose we selected a random sample of five woman from our school measure the height of each and calculated the sample mean if we wished to know whether the height of woman at our school is typical of height of women inourtown how should we compare our sample data to ...

### Statistics

The probability of a randomly drawn individual having blue eyes is 0.51. A) What is the probability that seven people drawn at random all have blue eyes? (b) What is the probability that one of the sample of seven has blue eyes?

### Math

If a bag contains 50 marbles with 28 red ones and 22 blue ones. A marble is picked at random from the bag.what is the probability of picking a red marble after a blue marble was picked first?

### geometry

A shuttle bus for a festival stops at the parking lot every 18 minutes and stays at the lot for 2 minutes. If you go to the festival at a random time, what is the probability that the shuttle bus will be at the parking lot when you arrive?

### Statistics

In a simple random sample of 80 patients that go to a certain dentist, 9 patients had their teeth whitened. which interval is the 95% confidence interval for the percent of all the dentist's patients who had their teeth whitened? (4.4, 18.2) (8.4, 14.2) (5.5, 17.1) (7.8, 14.8)

### 7th grade

Susan has red, blue, and yellow sweaters. Joanne has green, red, and white sweaters. Diane's sweaters are red, blue, and mauve. Each girl has only one sweater of each color and will pick a sweater to wear at random. Find the probability that each girl chooses a different color.

### statistics

The diameters of apples in a certain orchard are normally distributed with a mean of 4.77 inches and a standard deviation of 0.43 inches. Show all work. (A) What percentage of the apples in this orchard is larger than 4.71 inches? (B) A random sample of 100 apples is gathered ...

### statistics

Employees in a large computer firm claim that the mean salary of the firm’s programmers is less than that of its competitors. The competitor’s salary is $47,000. A random sample of 30 of the firm’s programmers has a mean salary of $46,500 with a standard deviation of ...

### Statistics

Employees in a large computer firm claim that the mean salary of the firm’s programmers is less than that of its competitors. The competitor’s salary is $47,000. A random sample of 30 of the firm’s programmers has a mean salary of $46,500 with a standard deviation of ...

### statistics

Employees in a large computer firm claim that the mean salary of the firm’s programmers is less than that of its competitors. The competitor’s salary is $47,000. A random sample of 30 of the firm’s programmers has a mean salary of $46,500 with a standard deviation of ...

### statistics

The diameters of apples in a certain orchard are normally distributed with a mean of 4.77 inches and a standard deviation of 0.43 inches. Show all work. (A) What percentage of the apples in this orchard is larger than 4.71 inches? (B) A random sample of 100 apples is gathered ...

### math

A box contains 300 colored paper clips. Tony pulled 25 paper clips out at random and found 6 pink, 4 white, 10 yellow, and 5 blue clips in the sample from the data. Tony predicts there are about 150 yellow paper clips in the entire box. Ia tony's prediction reasonable?

### Statistics

Olive-Oil producers have expanded to approximately 120 producers statewide. Analysts estimate the average price consumers pay for a bottle of olive oil is $21, with a standard deviation of $2.40. What is the probability that the average price paid by a random sample of 36 ...

### STATISTICS

A random sample of clients at a weight loss center were given a dietary supplement to see if it would promote weight loss. The center reported that the 100 clients lost an average of 34 pounds, and that a 95% confidence interval for the mean weight loss this supplement ...

### Statistic

A bouquet of roses is to be composed by a florist. Six roses are chosen at random from four red roses and five white roses. In how many ways can the bouquet of roses be composed if there must be more white roses than red roses?

### statistics

Fewer young people are driving. In 1983, 87 percent of 19 year-olds had a driver's license. Twenty-five years later that percentage had dropped to 75 percent (University of Michigan Transportation Research Institute website, April 7, 2012). Suppose these results are based on a...

### calculus

factory worker wages, according to data released by city chamber of commerce, the weekly wages of factory workers are normally distributed according to the probability density function f(x)= (1/50√2π)e^((-1/2)((x-500)/50)^2) find the probability that a worker ...

### Math geometry

Please help , I only need the second part of the question Betty picks 4 random marbles from a bag containing 3 white , 4 yellow and 5 blue marbles The probability that exactly 1 of the 4 marbles drawn is blue is (0.3535) . The probability that at least 1 of the 4 marbles drawn...

### statistics

Listed below are the duration's (in hours) of a simple random sample of all flights of a space shuttle program. Find the range, variance, and standard deviation for the sample data. Is the lowest duration time unusual? Why or why not? 71, 100, 237, 199, 164, 269, 193, 379, 252...

### math

Numbered disks are placed in a box and one disk is selected at random. There are 6 red disks numbered 1 through 6, and 7 yellow disks numbered 7 through 13. In an experiment a disk is selected, the number and color noted, replaced, and then a second disk is selected. Is this ...

### statistics

In performing a hypothesis test, the null hypothesis is population mean = 6.9 and the alternative hypothesis is population mean ≠ 6.9, a random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation is 2.0. The population is approximated...

### math problem

two cards are drawn at random (without replacement) from a regular deck of 52 cards a) what is the probability that the first card is a heart and the second is red? b) what is the probability that the first card is red and the second is a heart?

### Statistical inference

Suppose the results for stat 201 in 2014 are normally distributed with mean 160 and standard deviation 18 . Find the probability that a random sample of size 36 gives a sample mean value in the following cases Question : between 120 and 220 p(120 < z < 220) p(120-160/3 &...

### statistics

An accounting firm is planning for the next tax preparation season. From last year's returns, the firm collects a systematic random sample of 100 filings. The 100 filings showed an average preparation time of 90 minutes with a standard deviation of 140 minutes. What is the ...

### math

A bank wishing to determine the average amount of time a customer must wait to be served took a random sample of 100 customers and found that the mean waiting time was 7.2 minutes. Assuming that the population standard deviation is known to be 15 minutes, find the 90% ...

### Math

A random survey of 500 households determines that 20% of the households would do so and that each participating household expects to recycle about 100 cans monthly with a standard deviation of 30 cans. Question (a) What is the 95% confidence interval regarding the percentage ...

### math

There are 5 options on the dessert menu at a restaurant. Erin and Ellen like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Erin will choose apple pie and Ellen will choose strawberry cheesecake for dessert? ...

### Marbles

A jar contains 9 red marbles numbered 1 to 9 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find the probability that the marble is blue or even-numbered.

### Marbles

A jar contains 9 red marbles numbered 1 to 9 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find the probability that the marble is blue or even-numbered.

### Math

"A players shuffles 7 red cards and 3 green cards into a random order then places them in a line. If all green cards are net to each other, he wins £10. If all are apart, he wins £2. Otherwise he wins nothing. Find the price up to which the player would be willing to expect ...

### maths

Driving to work alone. It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that a) All drive to work alone b) More than one-half drive to work alone c) Exactly 3 drive to work alon

### math

A bag of marbles contains 8 red marbles and 6 yellow marbles. Two marbles are drawn out of the bag at random without replacement. What is the probability that two red marbles are drawn out? Be sure to represent your answer as a fraction in simplest form.

### statistics

If %1 of a popualtion are allergic to peanuts, would it be unusual for a random sample of n=1500 to result in fewer than 10 with peanut allergies? I have figured phat p=10/1500 (-0.007-0.01)/.003=-1 Z-score=-1=.1587 so Iinterpreted this to be 16 samples out of 100 will result ...

### statistics

A random sample of 250 men yielded 175 who said they'd ridden a motorcycle at some time in their lives, while a similar sample of 215 women yielded only 43 that had done so. Find a 99% confidence interval for the difference between the proportions of men and women who have ...

### Statistics

A random sample of 250 men yielded 175 who said they'd ridden a motorcycle at some time in their lives, while a similar sample of 215 women yielded only 43 that had done so. Find a 99% confidence interval for the difference between the proportions of men and women who have ...

### Math

A bag contains 3 apples and 2 oranges. Another bag contains 2 apples and 4 oranges . A bag and a fruit are picked at random. The probability that the fruit will be apple is

### math

4 red,4 white,4 blue at random take out 2 , say 1 red 1 white do not replace. what is probarbility of now picking a)blue b)red c)white so red=1/12 or 1/4 white=1/12 or 1/4 now only 10 left red 3/10,white3/10, blue 4/10

### statistics

5. Congressional Committee Memberships The composition of the 108th Congress is 51 Republicans, 48 Democrats, and 1 Independent. A committee on aid to higher education is to be formed with 3 Senators to be chosen at random to head the committee. Find the probability that the ...

### statistics

A survey among US adults of their favorite toppings on a cheese pizza reported that 43% favored pepperoni, 14% favored mushrooms, and 6% favored both pepperoni and mushrooms. What is the probability that a random adult favored pepperoni or mushrooms on their cheese pizza? ...

### statistics

A survey among US adults of their favorite toppings on a cheese pizza reported that 43% favored pepperoni, 14% favored mushrooms, and 6% favored both pepperoni and mushrooms. What is the probability that a random adult favored pepperoni or mushrooms on their cheese pizza? ...

### Stats

I have a test on this tomorrow and I swear he didn't teach this and the book's not helping either, so maybe u can: A hwy engineer knows that his crew can lay 5 miles of hwy on a clear day, 2 miles on a rainy day, and only 1 mile on a snowy day. Suppose that the probabilities ...

### statistics

A card is to be chosen at random from a shuffled deck. Find the probability that the card drawn is a)the queen of clubs, given that it is an honor card. (I think it is a typo) b) a red four, given that the face number is even. c) a seven, given that the face number is prime. ...

### Statistics

One-fifth of the population is left-handed. A random sample of 20 people is selected. a) What is the probability that no more than 6 of the next 20 people are left-handed. b) What is the probability that at least 4 of the next 20 people are left-handed.

### maths

In a basket of fruit, there are 6 grapes,11 bananas and 13 oranges, if one fruit is chosen at random, what is the probability that the fruit is either grape or banana. i.find the probability of grape and banana i.find the probability of not banana

### probability

3. A bag contains five different lightbulbs. The bulbs are the same size but each has a different wattage. If you select three bulbs at a random,how many different outcomes will be in the sample space if the bulbs are selected without replacement? I understand there is 5 ...

### St

A manufacturer is interested in determining whether it can claim that the boxes of detergent it sells contain, on average, more than 500 grams of detergent. The firm selects a random sample of 100 boxes and records the amount of detergent (in grams) in each box. The data are ...

### Statistics

Suppose the mean income of 35-year-olds in the U.S. is $25,000. A random sample of 150 35-year-olds in California results in a sample mean income of $26,600 and a sample standard deviation of $3800. At the 5% significance level, can we conclude that the true mean income of 35-...

### MATH

(A) Classify the following as an example of nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: zip codes for the state of Pennsylvania (B) Determine if this data is qualitative or quantitative: Nationality (C) In your own line of...

### statistic

a restaurant that bills its house account monthly is concerned that the average monthly bill exceeds $200 per account. A random sample of twelve account is selected, resulting in a sample mean of $220 and a standard deviation of $12. Use a= 0.05. what is the critical value for...

### maths

Suppose there are 10 coins laid out in front of you. All of the coins are fair (i.e. have an equal chance of heads or tails) except one, which flips to heads every time. You draw one coin at random and flip it 5 times. If each of the 5 flips results in heads, then the ...

### Math

Malia puts together six 4-by-4-by-1 inch square layers with 1-inch cubes, then stacks them up to form a rectangular prism. This prism rests on a wooden table, on its square base. All the 1-inch cubes Malia used are white except one, which is red. As a reduced fraction, what is...

### MATH

Can someone please HELP me figure this out? According to statistics gathered as part of a research project by a group of statistics students on the college campus, 376 out of the 439 deaths attributed to lightning strikes were male. If all of the names of the deceased were ...

### statistics

A simple random sample of voters will be taken in a large state. Researchers will use the methods of our course to construct an approximate 95% confidence interval for the percent of the state’s voters who will vote for Candidate X. The minimum sample size needed to ensure ...

### probability

Consider the random variables X, Y and Z, which are given to be pairwise uncorrelated (i.e., X and Y are uncorrelated, X and Z are uncorrelated, and Y and Z are uncorrelated). Suppose that E[X]=E[Y]=E[Z]=0, E[X2]=E[Y2]=E[Z2]=1, E[X3]=E[Y3]=E[Z3]=0, E[X4]=E[Y4]=E[Z4]=3. Let W=a...

### Statistics

The heights of women in a certain population have a Normal distribution with mean 64 inches and standard deviation 3.5 inches. We select three women at random from this population. Assume that their heights are independent. Find the probability that the tallest of these three ...

### bus stats

Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the standard deviation of the difference between the two means? Assume that the samples are obtained from normally distributed populations ...

### statistics

The actual amount of potato chips that a filling machine puts into an “8-ounce” bag varies from bag to bag. If we consider the amount put into each bag as a random variable having a normal distribution with σ = 0.05 ounce, find the mean such that only 1% of the bags ...

### statistics

a manufacturer of detergent claims that the contents of the boxes in the market weigh on average at least 16 oz.. the distribution of weights is known to be normal with a standard deviation of 0.4 oz. to test the claim of the manufacturer a random sample of 16 boxes were ...

### statistics

a manufacturer of detergent claims that the contents of the boxes in the market weigh on average at least 16 oz.. the distribution of weights is known to be normal with a standard deviation of 0.4 oz. to test the claim of the manufacturer a random sample of 16 boxes were ...

### Statistics

A random sample of 14 college female students revealed their average height was 66.1 inches. a) How many students should be in a samle if a 95% confidence interval is to have a margin of error of only plus/minus 1 inch? Is that the only information you were given? Were you not...

### Finite Math

An urn contains sixteen red balls and seventeen white balls. A sample of three balls is selected at random and the number of red balls observed. Determine the probability distribution for this experiment: Number of Red Balls/Probability 0...Probability=? 1...Probability=? 2......

### statistics

Based on a random sample of 25 units of lawnmowers, the average weight is 102 lbs., and the sample standard deviation is 10 lbs. We would like to decide if there is enough evidence to establish that the average weight for the population of lawnmowers is greater than 100 lbs. ...

### Statistics

According to the American Automobile Association (AAA), the mean cost of a gallon of regular unleaded fuel in 2007 was $2.835. AAA noted that the standard deviation of the fuel price was $0.15. A random sample of n=100 gas stations is selected and the mean gas price is ...

### Probability and Statistics

In a toy manufacturing company three machines A,B and C are employed to manufactures toys. Machines A, B and C manufacture 20%, 30% and 50% of the total toys respectively. A quality control officer examined the machines and found that A,B and C produce 2%, 3% and 5% defectives...

### Programming Java

I am learning Java in programming right now. I need to write a program that should have an output like this: The program says "Type ten names". Then ten names sould be typed a person. Then the program chooses a random name from the list and displays it on screen. What should ...

### Statistics

A confidence interval was used to estimate the proportion of statistics students that are females. A random sample of 72 statistics students generated the following 90% confidence Interval: (.43, .63). based on the interval above, is the population proportion of females equal ...

### Math

A bag contains 6 black balls,5 red balls and 4 white balls,if 3 are selected at random without replacement determine the probability that (1)all 3 are black (2)all 3 are red (3)2 are black and 1 white (4)at least 1 of each colour is selected.

### Math

A bag contains 6 black balls,5 red balls and 4 white balls,if 3 are selected at random without replacement determine the probability that (1)all 3 are black (2)all 3 are red (3)2 are black and 1 white (4)at least 1 of each colour is selected.

### probability

There are two identical boxes of balls. In the first box 2 blue and 5 orange balls, and the second 3 blue and 6 orange balls. Chosen at random from the box and pull out a 1 ball. What is the probability that the ball taken is orange

### statistics

A random sample of n = 4 scores is selected from a population with ƒÝ = 80 and ƒã = 20. On average, how much difference would you expect between the sample mean and the population mean? a. 0 points (the sample mean should be the same as the population mean) b. 5 points c. ...

### Math120

A golf ball is selected at random from a golfn bag. If the golf bag contains 5 red balls, 6 orange balls and 9 black balls, find the probability of the following event. The golf ball is red or orange.

### Psychology

The famous behavioral psychologist John B. Watson once said: "Give me a dozen healthy infants, well-formed, and my own specified world to bring them up in, and I'll guarantee to take any one--at random and train him to become any type of specialist I might select: doctor, ...

### Financial information for management

ACCA Paper 1.2 Financial information for management Question 1 Preliminaries -Generating data (unit cost) for your version of the question -Using a scientific calculator,generate two 3-digit random numbers (hit the random number button twice {shift then Ran # then,possibly,=} ...

### math

Five coupons of values $2,six coupons of values $3,two coupons of values $5 and two coupons of values $8 are put into a small box.Two coupons are drawn at random from the box without replacement.Calculate the probability that (b)the total value of two coupons is $10. [Answer:...

### statistics

Consider a random sample of 37 students, and consider the number who graduate in six years. . Find the probability that 20 students in the sample graduate in six years

### Math

Could someone please let me know if I did this problem right? A bag contains seven blue marbles and five red marbles. One marble is drawn at random without replacement, and then a second marble is drawn. What is the probability that the second marble is blue if the first ...

### statistics

Find the indicated binomial probabilities. Round to the nearest 3 decimal places. In a local college, 20% of the math majors are women. Ten math majors are chosen at random. 1) What is the probability that exactly 2 are women? 2) What is the probability that 2 or less women ...

### Stats (probability)

Of 10 girls in a class, 3 have blue eyes. If two girls are chosen at random, what is the probability that (i) both have blue eyes, (ii) neither has blue eyes, (iii) at least one has blue eyes? I have the answers but do not know how to get them. I'm trying to use a tree diagram...

### Probability

Mary took a 20 question multiple-choice exam where there are 4 choices for each question and only 1 of those choices is correct. Rather than reading the question, Mary simply puts a random choice of answer down for each question. Determine the probability that Mary gets ...

### elective mathematics

A ba contains 5 red and 4 white identical balls abd a second bag contains 3 red and white identical balls If one ball ios selected at random from each of the bags, Find the probability that, two balls selected will be of I)different colour Ii)same colour

### Statistics

A manufacturer makes two models of an item: model I, which accounts for 80% of unit sales, and model II, which accounts for 20% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 10% of its model I and 18% of its model II. If a model is selected ...

### Statistics

if 25% of all students asked say they spend too much time on homework, and 12 students are selected at random, what is the expected number of students who say they spend too much time on homework?

### stats

The vice-president of a business firm has reviewed the records of the finn's personnel and found that 70% of the employees read The Wall Street Journal. If the vice-president was to choose 12 employees at random,what is the probability that the number of these employees who ...

### Math please help

7. The doctor’s assistant claims that at least 350 of the 500 patients have seen the doctor in the past year. A random survey of 45 patients shows that 18 have seen the doctor in the past year. Is the assistant’s claim likely to be valid? Explain.

### statistics

opinion polls find that 16 percent of americans adults claim that they never have time to relax. suppose you take a random sample of 400 american adults and count the number X in your sample and claim that they never never have time to relax.

### Statistics

A production process is checked perifically by a quality control inspector. The inspector selects simple random samples of 30 finished products and computes the sample mean product weights x. If test results over a long period of time show that 5% of the x values are over 2.1 ...

### Discrete Math

You have two decks of 26 cards. Each card in each of the two decks has a different letter of the alphabet on it. You pick at random one card from each of the two decks. A vowel is worth 3 points and a consonant is worth 0 points. Let X = the sum of the values of the two cards ...

### statistics

The times taken to complete a statistics test by all students are normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. Find the probability that the mean time taken to complete this test by a random sample of 16 students would be between 122 ...

### statistics

The times taken to complete a statistics test by all students are normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. Find the probability that the mean time taken to complete this test by a random sample of 16 students would be between 122 ...

### statistics

34 percent of the undergraduate students in a large university have full-time jobs. A random sample of 26 undergraduate students are selected. What is the variance of the number of students who have full-time jobs in such a sample? Calculate to two decimal places(Hint: This is...

### statistics

random sample of n = 16 scores is selected from a normal distribution with a mean of μ = 50 and standard deviation of σ = 10. a. what is the probability that the sample mean will have a value between 45 and 55? b. what is the probability that the sample mean will ...

### statistics

According to the Current Population Survey of the Census Bureau, 67% of children live with both parents, 23% live with their mother only, and 5% live with their father only. The rest live with neither parent. If we choose a child at random, what is the probability that the ...

### statistics

According to the Current Population Survey of the Census Bureau, 67% of children live with both parents, 23% live with their mother only, and 5% live with their father only. The rest live with neither parent. If we choose a child at random, what is the probability that the ...

### probability

Alice and Bob each choose at random a number between zero and two. Consider the events events A: The magnitude of the difference of the two numbers is greater than 1/4. Event B: At least one of the numbers is greater than 1/4. Event C: Alice’s number is greater than 1/4. Use...

### statistics

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.77 hours. Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the ...