---### Binomial Distribution in Computer PurchasesA computer store knows from past experience that 11% of computers bought will be returned for a full refund. A random sample of 31 computer purchases is selected at random. Assume that the binomial distribution applies.**Note:** The mean and standard deviation of a binomial random variable are given by:\[ \mu = np \]\[ \sigma = \sqrt{npq} \]Where:- $ n $ is the number of trials,- $ p $ is the probability of success,- $ q = 1 - p $ is the probability of failure.#### Questions:**A. What is the number of trials?** **Answer:** \[ \_\_\_\_\_\_\_\_\_ \]**B. What is the probability of "success"?** **Answer:** *Do not round.*\[ \_\_\_\_\_\_\_\_\_ \]**C. What is the mean number of computer purchases out of 31 that will be returned for a refund?** **Answer:** *Round to 1 decimal place.*\[ \_\_\_\_\_\_\_\_\_ \]**D. What is the standard deviation of the number of computer purchases out of 31 that will be returned for a refund?** **Answer:** \[ \_\_\_\_\_\_\_\_\_ \]---**Explanation of Formulae:**- **Mean (μ):** The average number of successes in n trials, calculated as $ \mu = np $. For this problem, it represents the expected number of computer returns.- **Standard Deviation (σ):** Measures the spread of the distribution, calculated as $ \sigma = \sqrt{npq} $.

Answered: A computer store knows from past…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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