The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf. 1- 1sxs2 f(x) = otherwise (a) Compute the cdf of X. x< 1 2(*+ - 2) F(x) = 1sxs2 2 > x (b) Obtain an expression for the (100p)th percentile. n(P) = What is the value of u? (Round your answer to three decimal places.) (c) Compute E(X) and V(X). (Round your answers to four decimal places.) thousand gallons thousand gallons squared E(X) = V(X) = (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) = amou left when demand = x.] (Round your answer to three decimal places.)
The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf. 1- 1sxs2 f(x) = otherwise (a) Compute the cdf of X. x< 1 2(*+ - 2) F(x) = 1sxs2 2 > x (b) Obtain an expression for the (100p)th percentile. n(P) = What is the value of u? (Round your answer to three decimal places.) (c) Compute E(X) and V(X). (Round your answers to four decimal places.) thousand gallons thousand gallons squared E(X) = V(X) = (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) = amou left when demand = x.] (Round your answer to three decimal places.)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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)
x2
otherwise
(a) Compute the cdf of X.
х< 1
1
2|x +
2)
F(x) :
1 < x < 2
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb05998c5-9aa7-4463-a9df-7f7abe049b9d%2F46a38573-1a39-4512-804f-c0d3051357f4%2Fnjvgoo_processed.png&w=3840&q=75)
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)
x2
otherwise
(a) Compute the cdf of X.
х< 1
1
2|x +
2)
F(x) :
1 < x < 2
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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