STAT 3502 Study Guide - Midterm Guide: Probability Mass Function, Poisson Distribution, Binomial Distribution

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Answer key - version (b: the probability that a visit to a primary care physician"s (pcp) o ce results in neither lab work nor referral to a specialist is 35%. Of those coming to a pcp"s o ce, 30% are referred to specialists and 40% require lab work. Calculate the probability that a visit to a pcp"s o ce results in lab work but not in referral to a specialist. (a) 0. 05 (b) 0. 12 (c) 0. 18 (d) 0. 25 (e) 0. 35. Solution: we have p (l r ) = 0. 35, p (r) = 0. 35 and p (l) = 0. 4. As p (l r ) = p ((l r) ) = 1 p (l r), therefore, p (l r) = 1 0. 35 = 0. 65. De ne event a = {the next two babies are boys} and event b. = {at least one of the next two babies is a boy}.