The following is a question possibly involving "Expected Values for Continuous Random Variables" and/or "The Uniform Probability Distribution".

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The proportion of time Y that an industrial robot is in operation during a 40-hour week is a random variable with probability density function _ 33F, 0 S y S 1 fly) _ { 0, otherwise For the robot under study, the prot X for a week is given by X = 200Y 60. Find the expected prot for a week