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The weekly demand for propane gas (in 1000s of gallons) from a particular facility is a continuous random variable X with the following pdf (Bonus points: Just try it or bring it during office hours) (This is graded according to your efforts). f(x) = 2( 1 - 2), -1KIK 2 otherwise (a) Compute the complete cdf of X. (b) Find the mean and variance of X. (c) If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week. How much of the 1.5 thousand gallons is expected to be left at the end of the week? (Hint: consider the function h(x) = 1.5 - x where x is the amount demanded during the week