The monthly energy consumption of a household X, in mWh, has probability density function f(x)={6(37​)2(x−37​x2)0​ if 0<

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The Monthly Energy Consumption Of A Household X In Mwh Has Probability Density Function F X 6 37 2 X 37 X2 0 If 0 1 (65.8 KiB) Viewed 32 times

The monthly energy consumption of a household X, in mWh, has probability density function f(x)={6(37​)2(x−37​x2)0​ if 0<x<73​ otherwise ​ a) Find E(X) (Enter the answer correct to 3 decimal places) b) The monthly energy bill (in dollars) for the household is Y=81+240X+26X2. Find the expected cost per month. (Enter the answer correct to 1 decimal place)