At a crowded community pool, the lifeguard has to get up from his stand an avera

Question

At a crowded community pool, the lifeguard has to get up from his stand an average of 1.8 times per hour. What is the probability that he doesn't have to move during the next hour? The probability of having a baby boy is approximately -SOS. Assume the sex of cadi child born does not change the probability of being a boy for any subsequent children. A family has seven children What is the probability that excite five of them are boys? A production run of 60 processor chips contains 8 defective chips. Five chips are selected at random and tested If more than 1 defective chip is found, the entire set is thrown out. What is the probability that the set is thrown out?

Explanation / Answer

1) Y no of times he gets up is POisson with average = 1.8

P(X=0) = 0.1653

2) X no of boys is binomial with n = 7 and p = 0.505

P(X=5) = 0.1690

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X no of defectives is binomial with n =5 and p = 8/60

P(thrown out)=P(X>1)

=0.1349

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