09_13_1ans - STAT 400 Examples for 09/13/2011 (1) Fall 2011...

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Unformatted text preview: STAT 400 Examples for 09/13/2011 (1) Fall 2011 5. Suppose that on Halloween 6 children come to a house to get treats. A bag contains 8 plain chocolate bars and 7 nut bars. Each child reaches into the bag and randomly selects 1 candy bar. Let X denote the number of nut bars selected. a) Is the Binomial model appropriate for this problem? No . Without replacement Trials are not independent. b) Find the probability that exactly 2 nut bars were selected. 15 005 5 70 21 6 15 4 8 2 7 , C C C = 0.2937 . b B 7 8 nut plain 2 4 OR 10 5 11 6 12 7 13 8 14 6 15 7 2 6 C 0.2937 . Hypergeometric Distribution : N = population size, S = number of successes in the population, N S = number of failures in the population, n = sample size. X = number of "successes" in the sample when sampling is done without replacement....
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This note was uploaded on 11/07/2011 for the course STAT 400 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.

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09_13_1ans - STAT 400 Examples for 09/13/2011 (1) Fall 2011...

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