The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv x with the following pdf. f(x) = 2 1 − 1 x2 1 ≤ x ≤ 2 0 otherwise (a) compute the cdf of x. f(x) = 0 x < 1 $$ correct: your answer is correct. 2(x + 1/x) - 4 1 ≤ x ≤ 2 1 2 > x (b) obtain an expression for the (100p)th percentile. η(p) = $$ correct: your answer is correct. (p + 4 + sqrt(p^2 + 8p))/4 what is the value of mu tilde? (round your answer to three decimal places.) 1.64 correct: your answer is correct. seenkey 1.640 (c) compute e(x) and v(x). (round your answers to four decimal places.) e(x) = 1.61 incorrect: your answer is incorrect. seenkey 1.6137 thousand gallons v(x) = 0.0626 correct: your answer is correct. seenkey 0.0626 thousand gallons squared (d) if 1.6 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 1.6 thousand gallons is expected to be left at the end of the week? [hint: let h(x) = amount left when demand = x.] (round your answer to three decimal places.) .1 correct: your answer is correct. seenkey 0.100 thousand gallons.