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: ollect the Data n = 30 x = 21 In other words, define the random variable P′. State the estimated…

A: Given, n=30 x=21

Q: Table 4 is the probability table for a random variable X. Find E(X), Var(X), and the standard…

Q: In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the…

A: The mean is 42.5 minutes and the standard deviation is 4.8.

Q: About 77% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72% is,

Q: Birds arrive at a feeding table independently, at an average rate of six per hour. a Find the…

A: Given::-- Birds arrive at a feeding table independently, at an average rate of six per hour.

Q: Use the given mean and standard deviation to fill in the boxes. The first row represents the…

A: Given that Population mean =42 Population standard deviation =10 Sample size n =16

Q: Show that adding a constant K to a random variable increases the average by K but does not change…

A: Suppose I have a below data For random variable X 2,5,8,4 consider k= 2 Average of 2,5,8,4 using…

Q: A project's profit (in thousands), is a random variable with normal distribution. The variance equal…

A: Given information: A project's profit is a random variable with normal distribution. Let us denote…

Q: Find the mean and variance for the binomial distribution, P=0.37,n=22

A: Answer: From the given data, p = 0.37 and q = 1 - p = 1 - 0.37 = 0.63 sample size ( n )= 22

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: Given that, working in the garden pulling weeds/planting flowers burns an average of 200 calories…

Q: Find the mean and variance for the binomial distribution P=0.46 and n=25

A: Answer: From the given data, sample size(n) = 25 P = 0.46

Q: A simple random sample of 100 students from a certain University was selected and count the…

A: n =100 Given sample proportion P=0.3 formula for standard error is SE = square root of…

Q: There are four numbers in a data set. They are 4, 6, 8, and 11. c) The formula for the sample…

A: Number of samples (n) = 4

Q: K The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a…

Q: (b) The number of red balls in a sample of 8 balls chosen at random from a box contains 30 balls of…

A: We have to find the mean and variance of Hypergeometric distribution.

Q: A survey of the population of 51 students in Psych 311 asks how many credits students are taking and…

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

A: The number of cans n = 5 The probability that the cans contain apple juice p = 0.4 The probability…

Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

Q: Find the mean and variance for the binomial distribution, P=0.56 and n= 8

A: Number of trials n=8 Success of probability p=0.56 X~binomial (n,p)

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: GivenMean(μ1)=4.0Mean(μ2)=4.0standard deviation(σ1)=2.5standard deviation(σ2)=2.5sample…

Q: Let p be the probability of obtaining heads when a coin is tossed and assume that p is in the range…

Q: Suppose there are many students like Judy (apply to 10 colleges, probability of acceptance is .4,…

A: Given that 10 colleges, probability of acceptance is 0.4 and number of acceptances is distributed…

Q: A researcher calculates the variance of her sample to be s = -6. , what would you tell the…

A: Here's the explanation for this as follows; The sample variance, s², is used to calculate how varied…

Q: A project's profit (in thousands), is a random variable with normal distribution. The variance equal…

A: The normal distribution is also known as Gaussian distribution. In normal distribution data are…

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: Let X1, X2, X3... X20 be a random sample from a distribution with mean 8 and variance 5. Find the…

Q: variable Y is twice th

A: It is given that mean of random variable Y is twice the mean of the random variable X. EY=2EX The…

Q: Find the mean and variance for the Binomial distribution, P=0.36 and n = 33

A: Answer: From the given data, P = 0.36 and n = 33

Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…

A: Given data μ=200σ=9normal distribution P(x<197)=?

Q: Guiz. 17 pis possi About 75% of all female heart transplant patients will survive for at least 3…

Q: Find the mean and variance for the binomial distribution, P=0.45 and n=12

A: Answer:- Given, Sample size, n = 12 Probability of success on a trial, p = 0.45 Using formulas,…

Q: The months of July to October are considered rainy season in the Philippines as multiple weather…

A: E(X)=∑ixi p(xi)E(X)=0×0.12+(1×0.20)+(2×0.33)+(3×0.25)+(4×0.10)E(X)=0+0.20+0.66+0.75+0.4E(X)=2.01

Q: Find the mean and variance for the binomial distribution, n=18 , P= 0.68 Round to two decimals

A: Answer: From the given data, sample size(n) = 18 p = 0.68

Q: Derive the variance of the Student's t distribution.

Q: (b) What is the probability that the sample mean is within 1 inch of the population mean for…

A: The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a…

Q: We have a random variable Y with unknown mean value. We have obtained a random sample of 10 values…

A: From the provided information, Sample size (n) = 10

Q: Find the mean and variance for the binomial distribution, P=0.13, n=19

A: Answer: From the given data, P = 0.13 Sample size(n) = 19

Q: From the past experience, 60% of the stocks are profitable. What is the probability that 5of the 7…

Q: About 80% of all female heart transplant patients will survive for at least 3 years. Seventy female…

A: Given information Probability that female heart transplant patients will survive for at least 3…

Q: Find the mean and variance for the binomial distribution, P=0.29 and n= 13 Round to two…

A: Answer: From the given data, For the binomial distribution, P = 0.29 n = 13

Q: Find the mean and variance for the binomial distribution, P = 0.65, n = 12

A: Answer: From the given data, Sample size(n) = 12 p = 0.65 X follows binomial distribution (n,p)

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

Video Video

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

ANSWER ASAPPPPP
in a normal distribution , a couple spends = 75.048pounds ,standard devaition =11.55pounds 1 find the prob that the couple spends less than 60 pounds 2 find the prob that random sample of 5 couples will spend less thsn 60 pounds kindly answer both parts
Suppose we take a sample of size 30 from a geometrical distribution 200 times. Draw a graph of the distribution of X¯n, this is a histogram of 200 values of the sample mean. Calculate the expected value and variance of X¯n. How is X¯ n distributed - name the distribution. Use an important theorem. Do it in R commander.
About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 70%? Assume the sampling distribution of sample proportions is a normal distribution. pq The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to n The probability that the sample proportion surviving for at least 3 years will be less than 70% is| (Round to four decimal places as needed.)
* Let X is a Gaussian random variable with zero mean an variance o. Y = X. Find mean of Random Variable Y.
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
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
An X random variable comes from any distribution with 21 averages and 17 variances. What is the probability that a sample of 45 randomly selected from this stack has a sample mean between 20 and 26? Calculate.
A random variable follows a normal distribution with mean 12k and variance σ2. The probability that a RV is less than p is 0.9582. knowing that the RV exceeds 10k, the probability that the RV is less than p is 0.95. Calculate σ.
4
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
Prove the property