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. σχί Enter 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.

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. σχί Enter 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.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 1E

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