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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Topic Video
Question
Need help with unanswered sections
![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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)