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A researcher studies how many cars wait at a small intersection. X is the number of cars waiting at 5:15 PM each day. The researcher

A researcher studies how many cars wait at a small intersection. X is the number of cars waiting at 5:15 PM each day. The researcher believes that the probability that X = x is proportional to (x+1)(8-x) for x = 0,. . ., 7 and these are the possible values for x

a) Find the p.m.f. of X

b)P(X will be at least 2)

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