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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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 cy²(1- y)², O≤y≤1, elsewhere. f(y) = (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 (c) Calculate the standard deviation of Y. (Round your answer to four decimal places.) o = 0.9621 X (d) Find P(Y>μ + 20). (Round your answer to four decimal places.) Need Help? Read It Watch It
Transcribed Image Text: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 cy²(1- y)², O≤y≤1, elsewhere. f(y) = (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 (c) Calculate the standard deviation of Y. (Round your answer to four decimal places.) o = 0.9621 X (d) Find P(Y>μ + 20). (Round your answer to four decimal places.) Need Help? Read It Watch It
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