# statistics- normal approximation

14,671 results

### statistics- normal approximation

find the normal approximation for the binomial probability that x=5, where n=12, and p=0.7. compare this probability to the value of p(x=5). * the only thing that i have come up with is that value of p(x=5) is o.29 when looking it up on the table. how would i successfully ...

### statistics

If np is more or equal to 5 and nq is more or equal to 5, estimate P(fewer than 6) with n = 14 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the normal approximation is not suitable. ...

### statistics/normal distribution

If np is greater than or equal to 5, and nq is greater than or equal to 5, estimate P(fewer than 8) with n =14 and p = 0.6 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq < 5, then state that the normal approximation is ...

### Statistics

If np ≥ 5 and nq ≥ 5, estimate P (fewer than 4) with n = 13 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np < 5 or nq <5, then state that the normal approximation is not suitable. P (fewer than 4) =

### Statistics

) In a rural area, the infected rate of certain disease is 0.20 (i.e., 20%). A sample of 20 people is taken from the area - selections are independent. Define X as the number of people in the sample who are infected by the disease. (1) This X is a binomial variable. What are ...

### STATISTICS

(a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, is np < 5 or nq < 5 than state the...

### Statistics

(a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, is np < 5 or nq < 5 than state the...

### statistics

With n=13 and p= 0.7, find the binomial probability p(9) by using a binomial probability table. If np> and nq> 5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, if np<5 or nq<5 then state that the ...

### statistics, math, college

if np >5 and nq>5 estimate P (fewer than 4) with n=13 p=0.4 by using normal distribution as an approximate to the binomial distribution if np <5 or nq< then state that the normal approximation is not suitable

### statistics/probability

One statistic used to assess professional golfers is driving accuracy, the percent of drives that land in the fairway. Driving accuracy for PGA Tour professionals ranges from about 40% to about 75%. Tiger Woods hits the fairway about 60% of the time. One reason why the Normal ...

### statistics

If n = 100 and p = 0.02 in a binomial experiment, does this satisfy the rule for a normal approximation? Why or why not?

### statistics-normal approximation, distrubution

find the normal appproximation for the binomial probabiolity the x=5,where n=12, and p= 0.7. compare this to the value of p(x=5). *please show calculations and work. want to compare my calculations. thank you. mary

### statistics

Answer the following: (A) Find the binomial probability P(x = 5), where n = 12 and p = 0.70. (B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 5...

### college statistics

find the normal approximation for the binomial probability that x=5 where n=14 and p=0.3 compare this to the value of p(x=5) found in table 2

### Statistics

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen for an experiment. A) Is it appropriate to use the normal approximation for ...

### statistics please help deadline 12am

find the normal approximation for the binomial probability that x=5,where n=12, and p=0.7compare probability to table b of normal distributions of table 2. The only thing that i know so far is that p(x=5) is equivalent to 0.29. how would i complete this question? please ...

### ap statistics

An unnoticed mechanical failure has caused one-fourth of a machine shop’s production of 10000 pistol firing pins to be defective. A random sample of 25 firing pins was drawn from the population. a.) Explain why this random variable has a binomial distribution? (2 points) b...

### ap statistics

An unnoticed mechanical failure has caused one-fourth of a machine shop’s production of 10000 pistol firing pins to be defective. A random sample of 25 firing pins was drawn from the population. a.) Explain why this random variable has a binomial distribution? (2 points) b...

### ap statistics

An unnoticed mechanical failure has caused one-fourth of a machine shop’s production of 10000 pistol firing pins to be defective. A random sample of 25 firing pins was drawn from the population. a.) Explain why this random variable has a binomial distribution? (2 points) b...

### Statistics

Find the normal approximation for the binomial probability that x = 5, where n = 12 and p = 0.7. Compare this probability to the value of P(x=5) found in Table 2 of Appendix B in your textbook.

### stastistics

With n=13 and p=0.7, find the binomial probability P(9)by using a binomial probability table. If np> and nq>5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial,if np<5 of nq<5 then state that the normal ...

### college ststistics

A. find the binomial probability p(x=5) where n=14 and p=0.30. B. setup without solving the binomial probability p(x is at most 5) using probability notation C. how would you find normal approximation to the binomial probability p(x=5) in part A. please show how you would ...

### Statistics

What is the difference between normal distribution and approximate normally. Correct me if im wrong but I think the parameters of Normal is X~Normal (mu, standard deviation) but then approx. normal is X~Normal (mu, variation) im just really confused when you use each and such.

### Business Statistics

In each case, sketch the two speciﬁed normal curves on the same set of axes: a A normal curve with m 20 and s 3, and a normal curve with m 20 and s 6. b A normal curve with m 20 and s 3, and a normal curve with m 30 and s 3. c A normal curve with m 100 and s 10, and a ...

### statistics

When using the normal approximation to the binomial, what is the mean used in the standardization formula when approximating a binomial distribution with 123 trials and p=0.35? Please submit your answer with 2 decimal places

### statistics

When using the normal approximation to the binomial, what is the standard deviation used in the standardization formula when approximating a binomial distribution with 226 trials and p=0.25? Please submit your answer with 4 decimal places

### Math

Records show that 29% of all payments to a mail-order company are submitted after the due date. Suppose 50 payments are submitted this week. Let r be a random variable that represents the number of payments that are late. Use the normal approximation to the binomial to ...

### Math

There is a 100 question multiple choice test each with 5 choices. You randomly guess each question. Set up the binomial probability formula to find the probability of getting exactly 80 correct out of 100. Check to see if you can use the normal approximation to binomial ...

### Statistics normal distribution

54% of the children in a large city are boys. Using a suitable approximation, calculate the probability that a random sample of 1000 children contains more boys than girls ?

### statistics

5. Suppose a manufacturer of computer chips is experiencing an average of 2% defective chips. (a) If a lot contains 1000 chips, what is the probability that more than 25 chips are defective? HINT. Use the normal approximation to the binomial.

### Math

Forty-five percent of a large class of students in Statistics are females. Suppose 28 students are selected at random from the class. Use a normal approximation with continuity correction to calculate the probability that the number of males in the sample is at least 12 but ...

### MATH

Answer the following: (A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30. (B) Set up, without solving, the binomial probability P(x is at most 4) using probability notation. (C) How would you find the normal approximation to the binomial probability P(x = 4...

### CALCULUS

If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error of this approximation is

### Math

Use Newton's method to approximate a root of the equation 5sin(x)=x as follows. Let x1=2 be the initial approximation. The second approximation x2 is: and the third approximation x3 is:

### calculus

Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is

### statistics

You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. Find the critical value that corresponds to a confidence level of 98%. (Report ...

### Calculus

Use Newton's method to approximate a root of the equation (2 x^3 + 4 x + 4 =0) as follows. Let (x_1 = -1\) be the initial approximation. The second approximation (x_2) is ? and the third approximation (x_3) is ?

### calculus

Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is I got x2=-1.454 but can't get x3 :(

### calculus

Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation x2 is and the third approximation x3 is for x2 I got -1.454 which is right but I can't get x3

### Statistics

A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is cancelled before 6:00 PM deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use binomial distribution to find the exact value and ...

### statistics

If 30% of people in an area are registered voters and 15 people are selected at random from the area: A. what is the probability that at most 3 out of the 15 people are registered voters? B. could we have used the normal approximation to the binomial in part b? Explain why or ...

### Statistics

Assume it is known that the probability of birth is equal in all months. What is the probability that in the STAT class of 120 students, exactly 20 students have their birthdays in either August or September? Solve using (i) the exact Binomial distribution, (ii) the Normal ...

### statistics

Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has normal ditribution, the mean and the median are not equal. d. The graph of a normal ...

### statistics

which of the following statements are correct? a. a normal distribuiton is any distribution that is not unusual. b. the graph of a normal distribution is bell-shaped. c. if a population has a normal distribution, the mean and the median are not equal. d. the graph of a normal ...

### Statistics

Many women take oral contraceptives to prevent pregnancy. Under ideal conditions, 1% will become pregnant within one year. In typcal use, 5% become pregnant. Choose 20 random women taking the pill. How many become pregnant in the next year? a. What is the probability that at ...

### CALC

Use Newton's method to approximate a root of the equation x3+x+3=0 as follows. Let x1=–1 be the initial approximation. The second approximation x2 is _____? and the third approximation x3 is _____?

### calculus

se differential, i.e., linear approximation, to approximate (8.4)^(1/3) as follows: Let f(x)=(x )^(1/3). The linear approximation to f(x) at x=8 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for (8.4)^(1/3) is

### linear approximation

a) Find the linear approximation of the function f(x)=4cos(3x^2) near x = 0 b) Use the approximation found in part (a) to estimate the value of f(pi/20)

### Statistics

1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. b. The graph of a normal distribution is bell-shaped. c. If a population has a normal distribution, the mean and the median are not equal. d. The graph of a ...

### statistics

Which of the following statements are correct? a. a normal distribution is any distribution that is not unusual b. the graph of a normal distribution is bell-shaped c. if a population has a normal distribution, the mean and the median are not equal d. the graph of a normal ...

### Statistics

Which of the following statements are correct? 1.A normal distribution is any distribution that is not unusual. 2.The graph of a normal distribution is bell-shaped. 3.If a population has a normal distribution, the mean and the median are not equal. 4.The graph of a normal ...

### statistics

You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. While it is an uncommon confidence level, find the critical value that ...

### AP Statistics

12) Which of the following statements is true? a) The sampling distribution of the difference between two proportions will always be normal. b) When comparing two population proportions, either sample proportion can be used as the unbiased estimate of the true population ...

### Statistics

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In the Cozumel region ...

### Math/Stats

In the last senatorial election in New Jersey, the republican candidate got 48% of the vote. During the election an exit poll was conducted by radio station WSTAT. Ten voters selected at random where asked if they voted for the republican candidate. (a) Let X = "Number of ...

### statistics

According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market in 2010. A random sample of 125 domestic passengers that year was selected. Using the normal approximation to the binomial distribution, what is the probability that more than ...

### Algebra/can you help me

Write each expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). log7^10= 1.183 How do you find the approximation log3^316 = 5.239 How do you find the approximation Thank you

### STATISTICS

In a psychology experiment in which 100 volunteers were asked to read a paragraph about an engineer, 65 assumed that the engineer was male despite the fact that the paragraph did not specify gender (and avoided gendered pronouns such as “he” or “she”). If the null ...

### statistics

Your mail-order company advertises that it ships 95% of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that only 91 of these orders were shipped on time. A) What is the sample ...

### calculus

If the local linear approximation of f(x) = 2cos x + e2x at x = 2 is used to find the approximation for f(2.1), then the % error of this approximation is... greater than 15% between 11% and 15% between 5% and 10% between 0% and 4%

### Statistics

Sorry but I don't know how to do this problem. Can someone please help me? In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Ocean fishing for ...

### Math - Statistics

A six-sided die is rolled 36 times. What is the probability that an odd number is rolled at most 15 times? What is the probability that an odd number is rolled exactly 15 times? Use the Normal Approximation to a Binomial.

### statistics

For any distribution (normal or not normal), the probability of selecting a score greater than the median is

### Statistics

In a certain city of several million people, of the adults are unemployed. If a random sample of adults in this city is selected, approximate the probability that at least in the sample are unemployed. Use the normal approximation to the binomial with a correction for ...

### Statistics HELP!

Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 119 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. The probability that ...

### statistics

Of all 3- to 5-year old children, 56% are enrolled in school (p=0.56). We are looking at a sample of 500 (n=500) such children, and this is thought to follow a binomial distribution. Use the normal approximation to the binomial to find the probability that at least 300 of ...

### statistics

A sample survey interviews an SRS of 263 college women. Suppose (as is roughly true) that 75% of all college women have been on a diet within the past 12 months. Using the Normal approximation, what is the probability (±0.001) that 82% or more of the women in the sample have ...

### Statistics(math)

(20.47 S-AQ) A sample survey interviews an SRS of 252 college women. Suppose (as is roughly true) that 71% of all college women have been on a diet within the past 12 months. Using Normal approximation, what is the probability (±0.001) that 77% or more of the women in the ...

### Math- Statistics

An epidemiologist is planning a study on the prevalence of oral contracep- tive use in a certain population. She plans to choose a random sample of n women and to sue the sample proportion of oral contraceptive users (pˆ) as an estimate of the population proportion (p). ...

### Statistics and Probability

Why is a normal distribution called "normal"?

### Statistics and Probability

Why is a normal distribution called "normal"?

### Statistics

A manufacturing facility produces iron rods whose mean diameter is 2.5 inches with a standard deviation of 0.2 inch. If a sample of 50 metal rods produced by the facility were randomly selected, what is the probability that the mean of these rods will lie between 2.4 inches ...

### statistics

If 30% of people in an area registered voters and 15 people are selected at ramdom from this area; a. What is the probability thatexactly 3out of the15 people are registered voters? b. What is the probability that at most 3 out of the 15 people are registered voters> c. ...

### PH Calculation

Consider a 0.42 M solution of NaCH3COO CH3COO–(aq) + H2O(l) -> CH3COOH(aq) + OH–(aq) Calculate the pH of the solution at equilibrium. Try the weak acid or weak base approximation (as appropriate) and check the validity of the approximation. If the approximation is not ...

### statistics

without the use of the standard normal tables, should techniques of calculus be used to find the probabilities concerning a normal distribution?

### Calculus - Derivatives

The approximation to a definite integral using n=10 is 2.346; the exact value is 4.0. If the approximation was found using each of the following rules, use the same rule to estimate the integral with n=30. A) Left Rule B) Trapezoid Rule The section deals with approximation ...

### STATISTICS

In a psychology experiment in which 100 volunteers were asked to read a paragraph about an engineer, 65 assumed that the engineer was male despite the fact that the paragraph did not specify gender (and avoided gendered pronouns such as “he” or “she”). ...

### ap statistics

In a survey, 600 mothers and fathers were asked about the importance of sports for boys and girls. Of the parents interviewed, 70% said the genders are equal and should have equal opportunities to participate in sports. B. Using the normal approximation without the continuity ...

### statistics

If Z is a standard normal variable, find the probability that Z lies between -1.10 and -0.36 Use the table of the area under the normal distribution in the back of your statistics textbook to find the area between these Z values and the mean. Since they are both on the ...

### MATH

Given a binomial distribution with n = 21 and p = 0.76, would the normal distribution provide a reasonable approximation? Why or why not?

### math

Suppose x has a binomial probability distribution with n = 200 and p = 0.60. Use the normal approximation to the binomial to find P (X > 130).

### Statistics

How do I answer: A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228

### statistics for health research

Descriptive statistics are widely used in qualitative research. When establishing if a population is normally distributed explain when the statistics of sample size, mean, mode, median, skewness and kurtosis will guide the researcher to make conclusions of a normal distribution.

### statistics

Will the sampling distribution of means be approximately normal if n=25 or so, even if the frequency distribution of X values is not normal?

### Statistics

Use normal approximation to find the probability of the indicated number of voters. In this case, assume that 184 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that fewer ...

### statistics

A normal distribution has a standard deviation equal to 23. What is the mean of this normal distribution if the probability of scoring above x = 181? record to 1 decimal place

### STAT- important

What is the difference between normal distribution and approximate normally. Correct me if im wrong but I think the parameters of Normal is X~Normal (mu, standard deviation) but then approx. normal is X~Normal (mu, variation) im just really confused when you use each and such.

### statistics

consider the following sample statistics from a population that is aproximatly normal. n=15, s= 7.92,level of confidence is 99 % Calculate the margin of error( round to the nearest hunderth)

### statistics

consider the following sample statistics from a population that is aproximatly normal. n=15, s= 7.92,level of confidence is 99 % Calculate the margin of error( round to the nearest hunderth)

### approximation fractions

which math fraction is greater through approximation: 10/21 or 15/28?

### statistics

1. Which of the following statements are correct? a. A normal distribution is any distribution that is not unusual. (True/False) b. The graph of a normal distribution is bell-shaped. (True/False) c. If a population has a normal distribution, the mean and the median are not ...

### calculus

Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.

### calculus

Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.

### calculus

Use the linear approximation (1+x)^k=1+kx to find an approximation for the function f(x)=1/square root of (4+x) for values of x near zero.

### calculus

Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is? So confused

### calculus, math

Use Newton's method to approximate the value of (543)^(1/5) as follows: Let x1=2 be the initial approximation. find x2 and x3 =? approximation

### Calculus

Use the linear approximation (1+x)^k\approx 1+kx to find an approximation for the function f(x) for values of x near zero. I need help for (3+3x)^(1/3). Please help me!

### Math

Use the linear approximation (1+x)^k=1+kx to find an approximation for the function (3+3x)^(1/3) for values of x near zero. Help would be greatly appreciated!

### Statistics

Find an example of application of Normal Distribution (or approximately Normal Distribution) in your workplace or business (or any other business that you are familiar with). Prove that the variable has the characteristics of a Normal Distribution. Recall that the variable ...