You are to roll a fair die n = 117 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i = 1, 2, · · ·, 11(a) Consider the distribution of the random variable ✗i. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die.μ.Χ.Enter your answer using all the decimals you can.σχίEnter your answer using all the decimals you can.(b) Now think about the average of your n = 117 tosses of the fair die. What can you say about the distribution of this average? Complete the sentence, Enter your answer using all the decimals you can.The distribution of X ?with a mean x =and a standard deviation σ =(c) What is the probability that the average topside on your n = 117 tosses will be somewhere between 3.4 and 3.7? Enter your answer using all the decimals you can.(d) What is the probability that the average of your n = 117 tosses is greater than 4.05? Enter your answer using all the decimals you can.

I have provided the solution below please do refer it.Explanation:Solution

Answered: You are to roll a fair die n = 117…

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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