Aboxof1000ticketshasanaverageof40andastandarddeviationof10.Two hundred and twenty-five draws will be made at random with replacement from this box. (a) What is the expected value of the average of the draws? _________ (b) What is the standard error of the average of the draws? _________ (c) If it is appropriate to use the normal approximation for the probability histogram of the average of the draws, explain why it is and then find the chance that the average of draws is greater than 41. If it is not appropriate, explain why not

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Aboxof1000ticketshasanaverageof40andastandarddeviationof10.Two hundred and twenty-five draws will be made at random with replacement from this box.
(a) What is the expected value of the average of the draws? _________
(b) What is the standard error of the average of the draws? _________
(c) If it is appropriate to use the normal approximation for the probability histogram of the average of the draws, explain why it is and then find the chance that the average of draws is greater than 41. If it is not appropriate, explain why not

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