ou are to roll a fair die n=108 times, each time observing the number of dots appearing on the top side of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,108. (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die. μXi= ____________ Enter your answer using all the decimals you can. σXi= ____________ Enter your answer using all the decimals you can. (b) What is the probability that the average topside on your tosses will be somewhere between 3.4 and 3.7? Enter your answer using all the decimals you can. _____________ (c) What is the probability that the average of your tosses is greater than 4.15? Enter your answer using all the decimals you can.
You are to roll a fair die n=108 times, each time observing the number of dots appearing on the top side of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,108.
(a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die.
μXi= ____________ Enter your answer using all the decimals you can.
σXi= ____________ Enter your answer using all the decimals you can.
(b) What is the probability that the average topside on your tosses will be somewhere between 3.4 and 3.7? Enter your answer using all the decimals you can.
_____________
(c) What is the probability that the average of your tosses is greater than 4.15? Enter your answer using all the decimals you can.
______________
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