te the cdf of X. x< 1 =) = 1sxs2 2 > x an expression for the (100p)th percentile. evalue of (Round your answer to three decimal places.) e E(X) and V(X). (Round your answers to four decimal places.) thousand gallons thousand gallons squared housand 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 and = x.] (Round your answer to three decimal places.) thousand gallons

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The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf.
1
1 < x < 2
f(x)
otherwise
(a) Compute the cdf of X.
X < 1
F(x) =
1< x < 2
1
2 > X
(b) Obtain an expression for the (100p)th percentile.
n(p) =
What is the value of ? (Round your answer to three decimal places.)
(c) Compute E(X) and V(X). (Round your answers to four decimal places.)
E(X) =
thousand gallons
V(X) =
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.)
thousand gallons
Transcribed Image Text:The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf. 1 1 < x < 2 f(x) otherwise (a) Compute the cdf of X. X < 1 F(x) = 1< x < 2 1 2 > X (b) Obtain an expression for the (100p)th percentile. n(p) = What is the value of ? (Round your answer to three decimal places.) (c) Compute E(X) and V(X). (Round your answers to four decimal places.) E(X) = thousand gallons V(X) = 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.) thousand gallons
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