A box contains 100 light bulbs of which 15 are defective. Suppose 2 light bulbs
ID: 3257635 • Letter: A
Question
A box contains 100 light bulbs of which 15 are defective. Suppose 2 light bulbs are selected without replacement. a) What is the probability that both are defective? Give your answer to 3 places past the decimal. Submit Answer Tries 0/2 b) What is the probability that at least one of them is defective? Give your answer to 3 places past the decimal. Submit Answer Tries 0/2 c) What is the mean number of defective bulbs selected? Give your answer to 3 places past the decimal Submit Answer Tries 0/22 d) What is the variance of the number of defective bulbs selected? Give your answer to 3 places past the decimal. Submit Answer Tries 0/2Explanation / Answer
N =100, K=15, n = 2
(a) 0.021
(b)0.279
(c)0.300
(d)0.252
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(a) 0.040
(b) 0.084
(c) 0.286 [np = 5 => p = 5/7 => P( no accidents) = 1- (5/7)]
(d) 0.212
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