A random variable follows a binomial distribution with a probability of success equal to 0.68. For a sample size of n=8, find:- 1.The probability of exactly 3 success 2.The expected value(mean) 3.The variance of the random variable

A random variable follows a binomial distribution with a probability of success equal to 0.68. For a sample size of n=8, find:- 1.The probability of exactly 3 success 2.The expected value(mean) 3.The variance of the random variable

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A computer encoder makes an average number of 5 errors per page. Suppose he/she is asked to encode a…

A: pmf of poisson distribution is = f ( k ) = e^-k k^x / x!where k = parameter of the…

Q: Fifty five percent of the students in a class of 135 of planning to go to graduate school, Find…

A: Answer: From the given data, Fifty five percent of the students are planning to go to graduate…

Q: Fourty six percent of the students in a class of 150 are planning to graduate school, Find the…

A: Answer: From the given data, Sample size(n) = 150 Forty six percent of the students are planning to…

Q: Finding the Mean, Variance, and Standard Deviation of a Binomial Distribution 13% of students at a…

Q: A binomial random variable has mean 1.8 and variance 1.44. Determine complete binomial probability…

A: Given information: A binomial random variable has mean 1.8 and variance 1.44. Need to find the…

Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

Q: A racing car consumes a mean of 107 gallons of gas per race with the variance of 49. If 46 racing…

A: The following information has been provided: The population mean is μ=107. The sample variance is…

Q: Determine the parameters of binomial distribution for which the mean is 5 and variance is 3…

A: given data binomial distribution mean = 5variance = 3n=? , p=?

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: It is an important part of statistics . It is widely used .

Q: If random variable X has a binomial distribution with 18 and P(success) 0.3, find the mean of X.

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…

A: Given Data: μ=4σ=0.9n=10

Q: Give conditional variance.

Q: (15-17 min pentru rezolvare) Forty percent of cans contain apple juice. Let X be the number of…

A: Given information: Probability of success(p)=0.40. Number of cans selected (n)=5. X is the number of…

Q: Seventeen percent of U.S. employees who are late for work blame oversleeping. You randomly select…

Q: Approximate the mean of the random variable X based on the simulation for 25 games. hits (Round to…

A: Given , the numbers of hits for 25 games in table, 0 0 1 1 0 5 4 3 0 1 2 2 1 2 3 1 1 1 1 1…

Q: Twenty-six percent of U.S. employees who are late for work blame oversleeping. You randomly select…

Q: Example 5 Mean of a binomial distribution is 20 and the variance is 16. Calculaten, pandq

A: Given;X~binomial(n,p,q)and Mean=20 i.e. np=20 variance=16 i.e. npq=16

Q: Find the probability for a normal

A: Requirement of the problem: P-1.20=Pz≤-1.20. Consider, Pz≤-1.20=0.1151, from the standard normal…

Q: Find the mean and variance for the binomial distribution , P=0.72 and n=26 Round to two…

A: Answer: From the given data, P = 0.72 Sample size(n) = 26

Q: A binomial experiment has the given number of trials n and the given success probability p. n-20, p…

A: Given,n=20, p=0.7q=1-pq=1-0.7=0.3A random variable X~Binomial(n=20 , p=0.7)P(X=x)=20x0.7x0.320-x ;…

Q: Suppose you have a bucket of 150 balls: 47 red, 62 blue, and 41 green. Describe the distribution for…

A: Given that there are 150 balls. Among 150 balls, 47 red, 62 blue, and 41 green. P(green…

Q: A school gives an entry exam for admission. Suppose the score of this exam follows a normal…

A: Given that the score of the exam follows a normal distribution with a mean of 400 and a standard…

Q: Thirteen percent of U.S. employees who are late for work blame oversleeping. You randomly select…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the…

A: Test is that whether the mean shopping time is different from 40 minutes It is given that Sample…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 15 of the…

Q: If you draw a random sample of 100 scores from a large population of test scores and compute the…

A: As we increase z value, corresponding probability of occurence decreases. hence, The event among…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…

A: a) Define a random variable X, that is the time to review.

Q: The random variable of number of pages in your textbook would be classified as: continuous data…

A: The number of pages in a textbook is an example of Discrete DataReasonThe number of pages in a…

Q: What probability with the average of nine randomly selected individuals from the normally…

A: Given: Population mean(μ)=48 Population variance(σ2)=64 Population standard deviation=σ=64=8 Sample…

Q: a. Find the mean number of dogs in this sample who weigh 65 lb or more. Mean = b. Find the standard…

A: Here given, The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is…

Q: in a normal distribution , a couple spends = 75.048pounds ,standard devaition =11.55pounds…

A: Normal distribution is a continuous distribution which has so many real-world application. Standard…

Q: Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy…

A: a) Consider that μ is the population mean red blood cell volumes. It is needed to check whether the…

Q: The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is

Q: be the random variable representing the mean time to complete the 10 reviews. Assume that the 10…

Q: ty-eight percent of U.S. employees who are late for work blame oversleeping. You randomly select…

A: The number of randomly selected U.S. employees who are late for work is The percentage of employees…

Q: Forty percent of cans contain apple juice. Let X be the number of apple juice cans among 5 randomly…

A: Given : Probability of success (p) = 0.40 Number of trials (n) = 5 Consider X be the binomial random…

Q: You decided to plant roses. The probability that a planted roses seed germinates is 0.80. You plant…

A: Consider X be a random variable which follows binomial distribution indicates the number of roses…

Question

A random variable follows a binomial distribution with a probability of success equal to 0.68. For a sample size of n=8, find:-

1.The probability of exactly 3 success

2.The expected value(mean)

3.The variance of the random variable

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

76% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. 1.mean of the binomial distribution 2.variance of the binomial distribution 3.standard deviation
Eighty-three percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results find the mean, variance, and standard deviation
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ, spent by customers at the supermarkets has been reported to be 38 minutes, but executives have good reason to believe that u is different from 38 minutes. The executives hire a statistical consultant and ask her to perform a statistical test. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 44 minutes and the standard deviation of the times to be 10 minutes. Based on this information, complete the parts below. (a) what are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? Ho H₁ :0 (b) Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making? (Choose one) ▼ (c) Suppose the true mean shopping time spent by customers at the supermarkets is…
Bespin Car Rental predicts that the annual probability of one of its cars being destroyed in a crash is 1 in 100,000. If destroyed, the value of the property damage to the car equals $51,000. Assume that there are no partial losses; the car is either destroyed in a crash or suffers no loss. Show the damage loss distribution for Bespin Car Rental’s automobiles and calculate the expected value of the loss. Show the calculations for the variance and the standard deviation.
17 percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ=
Fourty six percent of the students in a class of 120 are planning to go to graduate school, Find the variance of this binomial distribution
Find the variance of x or the number of cups of coffee. (Do not round intermediate steps but round your final answer to 4 decimal places)
Use Normal distribution table or otherwise to find the probability that Z > 2
Five percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ= (Round to the nearest hundredth as needed.)
Find the probability for a normal distribution p(-0.80
59
H= 322 +A Q32. Explain M.G.F of poisson distribution.