Let X denote the amount of time a randomly selected customer will spend a restaurant. Suppose...
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Let X denote the amount of time a randomly selected customer will spend a restaurant. Suppose the cumulative distribution function is 0 x>0 F(x)= 0≤x53 1 x>3 1. (2.5 points) Compute P(1 ≤X ≤2), 2. (2.5 points) Calculate the probability density function f(x). (Hint: f(x)= F'(x).] customer. 3. (2.5 points) Calculate V(X). . (2.5 points) If the amount of the bill is a function of the time, h(x) = 5x², calculate the expected amount of the bill for a randomly selectes Let X denote the amount of time a randomly selected customer will spend a restaurant. Suppose the cumulative distribution function is 0 x>0 F(x)= 0≤x53 1 x>3 1. (2.5 points) Compute P(1 ≤X ≤2), 2. (2.5 points) Calculate the probability density function f(x). (Hint: f(x)= F'(x).] customer. 3. (2.5 points) Calculate V(X). . (2.5 points) If the amount of the bill is a function of the time, h(x) = 5x², calculate the expected amount of the bill for a randomly selectes
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