The proportion of time per day that all checkout counters in a supermarket are busy is a random variable Y with a density functio [cy²(1 - y)², Osy≤1, elsewhere. f(x) =< (a) Find the value of c that makes f(y) a probability density function. c = 360 (b) Find E(Y). (Use what you have learned about the beta-type distribution.) E(Y) = 3/11

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