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You are asked to match three songs with the performers who made those songs famous. if you guess, the probability distribution for the number of correct matches is:

Probability .333 .500 0 .167

number correct 0 1 2 3

what is the probability you get:

a) exactly one correct

b) at least one correct

c) exactly two correct

d) compute the mean, variance and standard deviation of this distribution

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