Unformatted text preview: that at the time one becomes empty, the other two each have 3 balls left? What is the probability that at the time one becomes empty, one urn has 2 balls left and the other 3 balls left? (6) [25 pts] Suppose the number of customers arriving in a store during a typical hour is Poisson distributed with parameter λ . Let p be the typical fraction of customers that are female. In other words, conditioning on the event that exactly n customers come during a given hour, the probability that k of them are female is n ! k !( nk )! p k (1p ) nk . (a) Show that the number of female customers arriving in a given hour is Poisson distributed with parameter pλ . (b) Show that the event that no females arrive during the hour is independent of the event that no male arrives during the hour....
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 '08
 PROTSAK
 Probability theory, pts

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