# TAM310hw13 - normal distribution. Using the values you...

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TAM 310 Advanced Engineering Analysis I Spring 2008 Prof.R.Rand Homework No.13 (Due Tuesday April 29) 1) A standard deck of 52 playing cards is shuFed and 10 cards are selected with replace- ment as follows: A card is drawn, it is written down, then it is replaced in the deck, then the deck is re-shuFed, and the next card is drawn. Let the random variable X be equal to the number of hearts that appear among the 10 drawn cards. a) Use the binomial distribution to determine the probability that X will take on each of the values from 0 to 10. b) Plot the P(X=i), the probability that X=i, versus i, for i going from 0 to 10. c) Compute the mean and variance of the binomial distribution for this problem. 2) It is desired to approximate the binomial distribution in the previous problem by a
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Unformatted text preview: normal distribution. Using the values you obtained for mean and variance in 1c), plot the probability density for a normal distribution. Show the values you obtained in problem 1a) for the binomial distribution on the same plot. 3) Here is a list of the age at inauguration of 42 of the Presidents of the United States: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 a) Draw a histogram of this data. b) Compute the mean and variance of the data. c) Assuming a normal distribution, ±nd the probability that the inauguration age will lie between 60 and 61....
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## This note was uploaded on 05/30/2009 for the course TAM 310 taught by Professor Phoenix during the Spring '08 term at Cornell University (Engineering School).

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