A random variable represents the number of successes in 10 Bernoulli trials, each with probability of success p= 0.65.(A) Find the mean and standard deviation of the random variable.(B) Find the probability that the number of successes lies within 1 standard deviation of the mean.(A) The mean of the random variable is(Type an integer or a decimal.)

Given that n=10 , p=0.65 , q=1-p=1-0.65=0.35 X~Binomial(n=10,p=0.65) Pmf of X P(X=x)=nCxpxqn-x…

Answered: A random variable represents the number…

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

Similar questions

A sample of 4 students were taken to see how many pencils they were carrying with them. The data is shown below. 1 2 3 5 (a) Compute the sample mean. (b) Compute the sample standard deviation.
Suppose that a recent poll found that 51% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 450 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is . (Round to the nearest whole number as needed.)
A normal population has a mean of $66 and standard deviation of $18. You select random samples of nine. What is the probability that the sampling error (x−μ)x-μ would be $9 or more? That is, what is the probability that the estimate of the population mean is less than $57 or more than $75? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
In a certain population, it is given that 10% of the people weigh less than 41 kg and 30% of the people weigh more than the mean but less than 80 kg. (i) Assuming that the weights of the population are normally distributed, find the mean and standard deviation of the weights. Give your answer correct to three significant figures. (ii) Ten people are chosen at random. Find the probability that more than two of them weigh more than 80 kg. (iii) A committee consists of 120 people. Using a suitable approximation, find the probability that at most 18 of them weigh less than 41 kg. Show that your approximation is valid.
Suppose that a recent poll found that 53%of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 400 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor.
Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.
Suppose that a recent poll found that 46% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values is poor. The mean of X is nothing. (Round to the nearest whole number as needed.)
The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. (a) The mean is (Type an integer or a decimal. Do not round.) The variance is (Round to two decimal places as needed.) The standard deviation is (Round to two decimal places as needed.). (b) Interpret the results. Select all that apply. A. The typical rating deviates from the mean by about 4. B. The average rating for the book is approximately 1. C. The typical rating deviates from the mean by about 1. D. The average rating for the book is approximately 4. Probability 0.5- 0.4 0.2 0.1- 0.0 0.020 Reviewer Ratings 0.084 -N 2 0.214 0.239 -00 3 Rating 14 0.443 Fin Q O S
You play a game of chance in which you can either win or lose (there are no other possibilities). The probability of winning is 0.22. What is the standard deviation of X, where X is the number of times one needs to play a game until one gets the first win?
Suppose that a recent poll found that 48% of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 350 randomly selected adults, compute the mean and standard deviation of the random variable X, the number of adults who believe that t moral values is poor. The mean of X is. (Round to the nearest whole number as needed.) The standard deviation of X is (Round to the nearest tenth as needed.) (b) Interpret the mean. Choose the correct answer below. O A. For every 350 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. O B. For every 350 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. O C. For every 350 adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is po O D. For every 168 adults, the mean is the maximum number of them that would be…
2
The SAT mathematics scores across the population of high school seniors are a normal random variable with a mean of 500 and a standard deviation of 100. Assume that the SAT mathematics test scores of different students are independent. (a) Find the probability that five randomly chosen seniors all score below 600. (b) What score must a student obtain to be in the 99th percentile?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS