ap stats quiz 6.3B 2020.docx - Advanced Placement...

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Advanced Placement StatisticsChapter 6 Quiz 3BDirections:You must show probability distribution and all work to receivecredit.If any names match students, this is purely coincidental.Realizing he is dateless for the prom, Venkata decides he will continue asking girls until a desperateyoung lady answers yes.The probability of each girl saying yes is a constant 2 percent (we knowthe probability is much lower for girls with teeth, hair, or sight but we ignore this fact for theproblem).He never asks girls in a group so their responses are independent (who would EVER sayyes if someone was watching).Let X = number of girls he must ask to get the first (and most likelyonly) yes response.1.Verify that the distribution of X is geometric.2.P(X = 5)3.What is the probability that Venkata will have to ask at least 8 girls?4.What is the probability that Venkata will have to ask at most 5 girls?5.Verify the probability distribution of X has a sum of 1.

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Term
Fall
Professor
farmer
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