Mathematics, 16.03.2020 20:56 destiny2521
Peter and Mary take turns throwing one dart at the dartboard. Peter hits the bullseye with probability p and Mary hits the bullseye with prob- ability r. Whoever hits the bullseye first wins. Suppose Peter throws the first dart.
(a) What is the probability that Mary wins?
b) Let X be the number of times Mary throws a dart in the game. Find the possible values and the probability mass function of X. Check that the function you give sums to 1. Is this a familiar named distribution?
c) Find the conditional probability P(X = kl Mary wins), for all possible values k of X. Is this a familiar named distribution?
Answers: 1
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Peter and Mary take turns throwing one dart at the dartboard. Peter hits the bullseye with probabili...
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