# What is the probability that the random variable has a value greater than 4?

41,119 results

### Math

What is the probability that the random variable has a value between 0.1 and 0.5? The random variable is .125.

### Probability

Suppose a random variable X has a cumulative distribution function given by F(a) = {0 for a<0, 1/2 for 0<=a<1, 3/5 for 1<=a<2, 4/5 for 2<=a<3, 9/10 for 3<=a<3.5, 1 for 3.5<=a. a. Find the probability mass function for X. b. Find the probability ...

### Probability

Suppose a random variable X has a cumulative distribution function given by F(a) = {0 for a<0, 1/2 for 0<=a<1, 3/5 for 1<=a<2, 4/5 for 2<=a<3, 9/10 for 3<=a<3.5, 1 for 3.5<=a. a. Find the probability mass function for X. b. Find the probability ...

### probability

A random experiment of tossing a die twice is performed. Random variable X on this sample space is defined to be the sum of two numbers turning up on the toss. Find the discrete probability distribution for the random variable X and compute the corresponding mean and standard ...

### Statistics/probability

The random variable X has a binomial distribution with the probability of a success being 0.2 and the number of independent trials is 15. The random variable xbar is the mean of a random sample of 100 values of X. Find P(xbar<3.15).

### Math

Suppose you have binomial trials for which the probability of success on each trial is p and the probability of failure is q= 1-p. Let k be a fixed whole number greater than or equal to 1. Let n be the number of the trial on which the kth success occurs. This means that the ...

### Math

Expand Your Knowledge: Negative Binomial Distribution Suppose you have binomial trials for which the probability of success on each trial is p and the probability of failure is q= 1-p. Let k be a fixed whole number greater than or equal to 1. Let n be the number of the trial ...

### 1333 math

Probability Scores 0.2 0 0.2 2 0.05 4 0.45 7 0.1 9 Find the variance of the above random variable random variable.

### Math

Suppose a baseball player had 211 hits in a season. In the given probability distribution, the random variable X represents the number of hits the player obtained in the game. x P(x) 0 0.1879 1 0.4106 2 0.2157 3 0.1174 4 0.0624 5 0.0060 a.) Compute and interpret the mean of ...

### Probability

Let X be a random variable that takes non-zero values in [1,∞), with a PDF of the form fX(x)=⎧⎩⎨cx3 if x≥1, 0,otherwise. Let U be a uniform random variable on [0,2]. Assume that X and U are independent. What is the value of the constant c? c= P(X...

### math

a fair coin is flipped 5 times the random variable is x is defined to be the number of heads that are observed identify the probability mass function of the random variable x. x P(x)

### statistics

what is the probability that the random variable has a value between 5.3 and 5.7

### Probability

Let Z be a nonnegative random variable that satisfies E[Z^4]=4. Apply the Markov inequality to the random variable Z^4 to find the tightest possible (given the available information) upper bound on P(Z≥2). P(Z>=2)<= ?E[Z^4]/2 = 2 But this is not the right answer

### Statistics

x is a random variable with the probability function: f(X) = x/6 for x = 1, 2 or 3 the expected value of X is?

### Probability

Let X be a random variable that takes non-zero values in [1,∞), with a PDF of the form fX(x)=⎧⎩⎨cx3,0,if x≥1,otherwise. Let U be a uniform random variable on [0,2]. Assume that X and U are independent. What is the value of the constant c? c= - ...

### Statistics and Probability

Suppose you took 1000 random samples of size 200 from the Poisson distribution with u = 5 and computed a 90% confidence interval for each sample. Approximate the probability that at least 920 of these intervals would contain the mean value u = 5. Be sure to define any random ...

### Statistics and Probability

Suppose you took 1000 random samples of size 200 from the Poisson distribution with u = 5 and computed a 90% confidence interval for each sample. Approximate the probability that at least 920 of these intervals would contain the mean value u = 5. Be sure to define any random ...

### probability

A fair coin is flipped independently until the first Heads is observed. Let K be the number of Tails observed before the first Heads (note that K is a random variable). For k=0,1,2,…,K, let Xk be a continuous random variable that is uniform over the interval [0,3]. The Xk's ...

### statistics

two dices are tossed once. let the random variable be t he sum of the up faces on the dice. A). find and graph the probability distribution of the random variable. and b) calculate the mean (or expectation) of this distribution

### arithmetic

Assume you roll a fair dice twice. Two rolls are independent and identically distributed, with probability of rolling a particular number being 1/6. So, for instance, the probability of rolling 5 and then 2 is P(5,2) = P(5) ⋅ P(2) = 1/6 ⋅ 1/6 = 1/36 Consider a ...

### math

let the random variable x denote the number of girls in a five-child family. if the probability of a female birth is .5 find the probability of 0,1,2,3,4, and 5 girls in a five-child family. construct the binomial distribution and draw the histogram associated with the ...

### probability

For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between −1 and 1. Let Ui=X1+X2+⋯+Xii,i=1,2,…. What value does the sequence Ui ...

### math 115

Let x be a continuous random variable that follows a normal distribution with a mean of 200 and a standard deviation 25. Find the value of x so that the area under the normal curve between ì and x is approximately 0.4798 and the value of x is greater than ì.

### Probability

For each of the following sequences, determine the value to which it converges in probability. (a) Let X1,X2,… be independent continuous random variables, each uniformly distributed between −1 and 1. Let Ui=X1+X2+⋯+Xii,i=1,2,…. What value does the sequence Ui ...

### statistics

In a certain region, the mean annual salary for plumbers is $51,000. Let x be a random variable that represents a plumber's salary. Assume the standard deviation is$1300. If a random sample of 100 plumbers is selected, what is the probability that the sample mean is greater ...

### Economics/Math

1. Assume that q and z are two random variables that are perfectly positively correlated. q takes the value of 20 with probability 0.5 and the value of zero with probability 0.5, while z takes the value of 10 with probability 0.5 and the value of zero with probability 0.5. ...

### random variable

A communication channel accepts the input X ?{0,1, 2,3} and outputs Y=X+Z whereZ is a binary random variable taking values -1 and +1 with equal probability. AssumeX and Z are independent and all values of the input X have equal probability.a) Find the entropy of Y.b) Find the ...

### Probability

7. The random variable X is distributed normally with a mean of 12.46 and variance of 13.11. You collect a random sample of size 37. a. What is the probability that your sample mean is between 12 and 13? b. What is the probability that a single observation is between 12 and 13...

### math

Let X be a normal random variable with μ = 12 and σ = 2. Find the value of the given probability. (Round your answer to four decimal places.) P(7 < X < 9) =

### Statistics

Answer the following questions. ​(a) The random variable x is distributed​ normally, with x~N(80,100) Find the probability that x is greater than 90. x >90. ​(b) Find P(x<85). ​(c) Find P(76<x<84).

### Probability

For each of the following statements, determine whether it is true (meaning, always true) or false (meaning, not always true). Here, we assume all random variables are discrete, and that all expectations are well-defined and finite. Let X and Y be two binomial random variables...

### statistics

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 44.

### statistics

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 45.

### statistics

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 44.

### Economics/Statistics

1. Assume that q and z are two random variables that are perfectly positively correlated. q takes the value of 20 with probability 0.5 and the value of zero with probability 0.5, while z takes the value of 10 with probability 0.5 and the value of zero with probability 0.5. ...

### Probability

Let A,B,C be three events and let X=IA, Y=IB, Z=IC be the associated indicator random variables. We already know that X⋅Y is the indicator random variable of the event A∩B. In the same spirit, give an algebraic expression, involving X, Y, Z for the indicator random...

### statistics

the random variable x is known to be uniformly distributed between 70 and 90. the probability of x having a value between 80 to 95 is

### STATISTICS

Consider a binomial random variable where the number of trials is 12 and the probability of success on each trial is 0.25. Find the mean and standard deviation of this random variable. I have a mean of 4 and a standard deviation of 2.25 is this correct

### Statistics

1. The sociologist surveyed the households in a small town. The random variable X represents the number of dependent children in the households. The following is the probability distribution of X: X 0 1 2 3 4 P(X) 0.07 0.20 0.38 k 0.13 (a) Find the missing probability value of...

### stats

Consider an infinite population with 25% of the elements having the value 1, 25% the value 2, 25% the value 3, and 25% the value 4. If X is the value of a randomly selected item, then X is a discrete random variable whose possible values are 1, 2, 3, and 4. (a) Find the ...

### Data Management

A random variable X is defined as the number of heads observed when a coin is tossed 4 times. Make a chart that shows the probability distribution for X. What is the expected value?

### Math

Which is always a correct conclusion about the quantities in the function y=x+4 A. THe variable x is always 4 more than y B. When the value of x is negative the value of y is also negative C.The variable y is always greater than x D.As the value of x increases the value of y ...

### statistics

A random variable may assume any value between 10 and 50 with equal likelihoods. (Uniform distribution) Determine the following values for this probability distribution: a) b) c) f(x) = d) P(x < 25) e) P(x > 15) f) P( 12 < x < 30)

### probability

Determine whether each of the following statement is true (i.e., always true) or false (i.e., not always true). 1. Let X be a random variable that takes values between 0 and c only, for some c≥0, so that P(0≤X≤c)=1. Then, var(X)≤c2/4. TRUE 2. X and Y ...

### Maths

1)A two-figure number is written down at random. Find the probability that a)the number is greater than 44 b)the number is less than 100 2)A letter is picked at random from the english alphabet. Find the probability that a)the letter is a vowel (my answer=5/26) b)the letter ...

The value of the dependent variable in a function is always __________ the value of the independent variable. 1.GREATER THAN 2.DEPENDENT ON 3.LESS THAN 4.EQUAL TO

### math,correction

Find expected value for the random variable. its suppost to be a table 6 X 2 i used the .... to represent separation z.....3......6.....9.....12.......15 p(z)..0.14..0.29..0.36..0.11...0.10 So what i did is i said e(x) = 3 (0.14)+ 6(0.29)+ etc to all the rest. and my result ...

### Math/Probability

The random variable X has a log-normal distribution, when the mean of ln(X) = 5.45 and variance of ln(X) = 0.334, what is the probability that X >139.76?

### statistics

Consider a normal distribution with mean 20 and standard deviation 3. What is the probability a value selected at random from this distribution is greater than 20?

Select the phrase that correctly completes the sentence. The value of the dependent variable is always ___________ the value of the independent variable. A. Greater than B. Dependent on C. Equal to D. Lesson than

### Social studies

Select the phrase that correctly completes the sentence. The value of the dependent variable in a function is always __________ the value of the independent variable. A.greater than B.dependent on (MY ANSWER) C.equal to D.less than

### math

The value of the independent variable in a function is always __?__ the value of the independent variable A greater than B dependent on C equal to D less than

### math

A person’s blood glucose level and diabetesare closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. After a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean...

### Finite

Assume that the box contains balls numbered from 1 through 28, and that 3 are selected. A random variable X is defined as 1 times the number of odd balls selected, plus 2 times the number of even. How many different values are possible for the random variable X? I know that is...

### statistics

Women’s heights are normally distributed with a mean of 162 cm and standard deviation of 16 cm. a. Define an random variable, X, and describe its full distribution including the mean and variance. b. What percentage of heights are greater than 180 cm ? c. What height is at ...

### Statistics-Probability

Consider a binomial random variable X with parameters(4,1/2). Find the conditional probability mass function of X given that X is odd

### Probability and statistics

8. A random variable X takes exactly the 5 values 1, 2,3,4,5, all with same probability. The mean of X is Choose one answer a. 2.5 b. 15 c. 7.5 d. 3

### Statistics

Daily water intake (including water used in drinks such as coffee, tea and juice) for Canadian adults follows a normal distribution with mean 1.86 litres and standard deviation 0.29 litres. (a) Can you calculate the probability that the mean daily water intake for a random ...

### ap stats need help

Continuous Random Variable, I Let X be a random number between 0 and 1 produced by the idealized uniform random number generator described. Find the following probabilities: a.P(0¡ÜX¡Ü0.4) b.P(0.4¡ÜX¡Ü1) c.P(0.3¡ÜX0.5) d.P(0.3(<X<0.5) e.P(0.226¡ÜX¡Ü0.713) f...

### probability

The PDF of exp(X) Let X be a random variable with PDF f_X. Find the PDF of the random variable Y=e^X for each of the following cases: For general f_X, when y>0, f_Y(y)= f_X(ln y) --------- y When f_X(x) = {1/3,0,if −2<x≤1,otherwise, we have f_Y(y) = {g(y),0,...

### Math

On the leeward side of the island of Oahu, in the small village of Nanakuli, about 80% of the residents are of Hawaiian ancestry. Let n = 1,2,3.... represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli...

### Math

On the leeward side of the island of Oahu, in the small village of Nanakuli, about 80% of the residents are of Hawaiian ancestry. Let n = 1,2,3.... represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli...

### statistics

Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 2a (...

### math 3

A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random variable

### Elementary statistics

Nine apples, four of which are rotten, are in a refrigerator. Three apples are randomly selected without replacement. Let the random variable x represent the number chosen that are rotten. Construct a table describing the probability distribution, then find the mean and ...

### Statistics

1. In thinking about doing statistical analysis, the sample mean should be interpreted as: A.)a constant value that is equal to the population mean. B.) a constant value that is approximately equal to the population mean. C.) a random variable that is approximately equal to ...

### statistics

Suppose that a random variable Y has a probability density function given by f(y) = ( ky 3 e y=2 ; y > 0 0; elsewhere: Find the value of k that makes f(y) a density function.

### statistics

Consider a normal distribution with mean 30 and standard deviation 6. What is the probability a value selected at random from this distribution is greater than 30? (Round your answer to two decimal places.)

### statistics

Let x be a continuous random variable that is normally distributed with a mean of 24 and a standard deviation of 7. Find the probability that x assumes a value between 27.5 and 59.0. Use Table IV in Appendix C to compute the probabilities. Round your answer to four decimal ...

### maths probability

The lifetime X of a bulb is a random variable with the probability density function: f(x)=6[0.25-(x-1.5)^2] when 1<=x<=2 0 otherwise X is measured in multiples of 1000 hrs. What is the probability that none of the three bulbs in a traffic signal have to be replaced in ...

### probability

Let K be a discrete random variable with PMF pK(k)=⎧⎩⎨⎪⎪1/3,2/3,0if k=1,if k=2,otherwise. Conditional on K=1 or 2, random variable Y is exponentially distributed with parameter 1 or 1/2, respectively. Using Bayes' rule, find the conditional PMF pK...

### Statistics

Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 2a (...

### Probability

The joint PMF, pX,Y(x,y), of the random variables X and Y is given by the following table: (see: the science of uncertainty) 1. Find the value of the constant c. c = 0.03571428571428571428 2. Find pX(1). pX(1)= 1/2 3. Consider the random variable Z=X2Y3. Find E[Z∣Y=&#...

### statistics

Let a random variable be distributed as shown below X=x : 0,1,2,3,4,5,6 P(x): .1 .09 .2 .15 .16 .2 (a) Find the probability p(6) (b) Find the probability P(3< X < 5) (c) Find the probability P(X < 4) (d) Find the probability P(X > 2)

### probability

FUNCTIONS OF A STANDARD NORMAL The random variable X has a standard normal distribution. Find the PDF of the random variable Y, where: 1. Y=3X-1 , Y = 3X - 1 answer: fY(y)=1/3*fX*(y+1/3) f_ Y(y)=1/3*f_ X*(y+1/3) 2. Y=3X^2-1. For y>=-1, Y = 3X^2 - 1. For y >= -1, answer: ...

### Stats

5. A person’s blood glucose level and diabetes are closely. X is a random variable that measures the milligrams of glucose per deciliter of blood. After a 12 hour fast, x has an approximate normal distribution with a mean of 85 and a standard deviation of 25. What is the ...

### Probability

Manhole explosions (usually caused by gas leaks and sparks) are on the rise in your city. On any given day, the manhole cover near your house explodes with some unknown probability, which is the same across all days. We model this unknown probability of explosion as a random ...

### probability

Let X be a random variable with PDF fX. Find the PDF of the random variable Y=eX for each of the following cases: For general fX, when y>0, fY(y)= - unanswered fX(eyy) fX(ln yy) fX(ln y)y none of the above When fX(x) = {1/3,0,if −2<x≤1,otherwise, we have fY(y...

### Math- Statistics

A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10. * a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution. * b. Find the ...

### math

A random variable x has a probability distribution. How to calculate E(1/(X+1))?

### Statistics

A random variable x has the following probability distribution: x f(x) 0 0.08 1 0.17 2 0.45 3 0.25 4 0.05

### Statistics

A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately ...

### Statistics

Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 2a (...

### math

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value ...

### math157

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value ...

### Math

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.p and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value for...

### MATH

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value ...

### Math

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3,with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value for...

### Probability

Manhole explosions (usually caused by gas leaks and sparks) are on the rise in your city. On any given day, the manhole cover near your house explodes with some unknown probability, which is the same across all days. We model this unknown probability of explosion as a random ...

### statistics

The average age of statistics students nationwide is 22. The standard deviation is 2.5 years. Assume the age is a normally distributed variable. Find the probability that one student selected at random is older than 23. Find the probability that the mean age of a group of 16 ...

### probability

Alice and Bob each choose at random a real number between zero and one. We assume that the pair of numbers is chosen according to the uniform probability law on the unit square, so that the probability of an event is equal to its area. We define the following events: A = {The ...

### math

Four well-defined social classes (1=low and 4=high) exist in a country. If X is a random variable giving the social class of the son of a father from social class 1, the distribution of X is as follows: we have a small chart that has son's class, X and a 1,2,3,4 next to it ...

### MATH Prob.

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value ...

### math/graphing

The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoons is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value ...

### probability

Paul is vacationing in Monte Carlo. On any given night, he takes X dollars to the casino and returns with Y dollars. The random variable X has the PDF shown in the figure. Conditional on X=x, the continuous random variable Y is uniformly distributed between zero and 2x. ...

### probabilities

Let X be a Poisson random variable with µ = EX = 0.4 and let Y be another random such that E[(2Y + 1)2 ] = 10 and E[(Y − 1)2 ] = 4 Consider the random variable Z such that Z = 3X + 4Y + 2. 1. Find E(X2 ), E(Y 2 ) and E(Z). 2. Suppose that X and Y are independent, find ...

### statistics

A random variable x has a following probability distribution. x: 0 1 2 3 P(X=x) 1/6 1/2 1/5 2/15 How to calculate E(1/(X+1))?

### math

A random variable x has a following probability distribution. x: 0 1 2 3 P(X=x): 1/6 1/2 1/5 2/15 How to calculate E(1/(X+1))?

### Probability

The random variable is uniform in the (-2c,2c)interval . Find and sketch F(y) and f(y) if Y=X^2

### MATH

(5 pts) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with \mu = 9.7 inches and \sigma = 1.7 inches. (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) Write the event ''a fish chosen has a ...