Question: A civil engineer is studying a left-turn lane that is long enough to hold seven cars. Let X be the number of cars in the

A civil engineer is studying a left-turn lane that is long enough to hold seven cars. Let X be the number of cars in the lane at the end of a randomly chosen red light. The engineer believes that the probability that X = x is proportional to (x + 1)(8 − x) for x = 0, . . . , 7 (the possible values of X).
a. Find the p.f. of X.
b. Find the probability that X will be at least 5.

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a The pf of X is fx cx18x for x 0 7 where c ... View full answer

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