You have 108 books to put on a shelf of length 100. Assume that the width of each book is given by a random variable uni

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You have 108 books to put on a shelf of length 100. Assume that the width of each book is given by a random variable uni

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You Have 108 Books To Put On A Shelf Of Length 100 Assume That The Width Of Each Book Is Given By A Random Variable Uni 1
You Have 108 Books To Put On A Shelf Of Length 100 Assume That The Width Of Each Book Is Given By A Random Variable Uni 1 (102.54 KiB) Viewed 25 times
You have 108 books to put on a shelf of length 100. Assume that the width of each book is given by a random variable uniformly distributed between 0 and 2. So the mean of the width of each book is 1, the variance of the width of each book is 1/3, and the widths of the books are independent random variables. We are interested in the probability that all your books fit on the shelf and it can be approximated by 100 a Pr (Z< where Z is a standard normal random variable. Give the values of a and b. a = , b = = Show your work.
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