Solved: The proportion of time per day that all checkout counters in a supermarket are
Chapter 4, Problem 4.133(choose chapter or problem)
The proportion of time per day that all checkout counters in a supermarket are busy is a random variable Y with a density function given by f (y) = $ cy2(1 y)4, 0 y 1, 0, elsewhere. a Find the value of c that makes f (y) a probability density function. b Find E(Y ). (Use what you have learned about the beta-type distribution. Compare your answers to those obtained in Exercise 4.28.) c Calculate the standard deviation of Y . d Applet Exercise Use the applet Beta Probabilities and Quantiles to find P(Y > +2)
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