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You are to roll a fair die n = 112 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, 112. ... , (a) Consider the distribution of the random variable ✗¿. 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. 18.8333 Enter your answer using all the decimals you can. = σχί 4.0848 Enter your answer using all the decimals you can. (b) Now think about the average of your n = 112 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 is approximately Normal with a mean μx = 0.1667 and a standard deviation σx = (c) What is the probability that the average topside on your n = 112 tosses will be somewhere between 3.3 and 3.7? Enter your answer using all the decimals you can. 0.7413 (d) What is the probability that the average of your n = 112 tosses is greater than 4.05? Enter your answer using all the decimals you can. 0.0202

You are to roll a fair die n = 112 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, 112. ... , (a) Consider the distribution of the random variable ✗¿. 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. 18.8333 Enter your answer using all the decimals you can. = σχί 4.0848 Enter your answer using all the decimals you can. (b) Now think about the average of your n = 112 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 is approximately Normal with a mean μx = 0.1667 and a standard deviation σx = (c) What is the probability that the average topside on your n = 112 tosses will be somewhere between 3.3 and 3.7? Enter your answer using all the decimals you can. 0.7413 (d) What is the probability that the average of your n = 112 tosses is greater than 4.05? Enter your answer using all the decimals you can. 0.0202

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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You are to roll a fair die n = 112 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, 112. ... , (a) Consider the distribution of the random variable ✗¿. 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. 18.8333 Enter your answer using all the decimals you can. = σχί 4.0848 Enter your answer using all the decimals you can. (b) Now think about the average of your n = 112 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 is approximately Normal with a mean μx = 0.1667 and a standard deviation σx = (c) What is the probability that the average topside on your n = 112 tosses will be somewhere between 3.3 and 3.7? Enter your answer using all the decimals you can. 0.7413 (d) What is the probability that the average of your n = 112 tosses is greater than 4.05? Enter your answer using all the decimals you can. 0.0202
Transcribed Image Text:You are to roll a fair die n = 112 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, 112. ... , (a) Consider the distribution of the random variable ✗¿. 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. 18.8333 Enter your answer using all the decimals you can. = σχί 4.0848 Enter your answer using all the decimals you can. (b) Now think about the average of your n = 112 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 is approximately Normal with a mean μx = 0.1667 and a standard deviation σx = (c) What is the probability that the average topside on your n = 112 tosses will be somewhere between 3.3 and 3.7? Enter your answer using all the decimals you can. 0.7413 (d) What is the probability that the average of your n = 112 tosses is greater than 4.05? Enter your answer using all the decimals you can. 0.0202
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