32, 22 ≤ y ≤ 32 therwise of Y given that X = x. or 22 ≤ y ≤ 32 given that Y = y. or 22 ≤ x ≤ 32 is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi? (It is known that K = 3 442,4 d your answer to three decimal places.) is found to be 22 psi, what is the expected pressure in the left tire, and what is the standard deviation of pressure in this ti al places.) X psi psi
32, 22 ≤ y ≤ 32 therwise of Y given that X = x. or 22 ≤ y ≤ 32 given that Y = y. or 22 ≤ x ≤ 32 is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi? (It is known that K = 3 442,4 d your answer to three decimal places.) is found to be 22 psi, what is the expected pressure in the left tire, and what is the standard deviation of pressure in this ti al places.) X psi psi
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
P5.4
Transcribed Image Text:Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with
joint pdf
f(x, y) =
x) = {K(x² + x²)
22 ≤ x ≤ 32, 22 ≤ y ≤ 32
otherwise
(a) Determine the conditional pdf of Y given that X = x.
fy|x(y|x) =
for 22 ≤ y ≤ 32
X
Determine the conditional pdf of X given that Y = y.
fxy(xly) =
for 22 ≤ x ≤ 32
X
3
Round your answer to three decimal
(b) If the pressure in the right tire is found to be 22 psi, what is the probability that the left tire has a pressure of at least 25 psi? (It is known that K =
places.)
442,400
Compare this to P(Y ≥ 25). (Round your answer to three decimal places.)
P(Y ≥ 25) =
X
3
(c) If the pressure in the right tire is found to be 22 psi, what is the expected pressure in the left tire, and what is the standard deviation of pressure in this tire? (It is known that K =
Round your answers to two decimal places.)
442,400
expected pressure
X psi
standard deviation
2.87107
psi
Expert Solution
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 with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman