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F.44 Each rear tire on an experimental airplane is upposed to be filled to a pressure of 40 pound per quare inch (psi). Let X denote the actual air pressure or the right tire and Y denote the actual air pressure or the left tire. Suppose that X andY are random ariables with the joint density (k(2² + y*), 30

F.44 Each rear tire on an experimental airplane is upposed to be filled to a pressure of 40 pound per quare inch (psi). Let X denote the actual air pressure or the right tire and Y denote the actual air pressure or the left tire. Suppose that X andY are random ariables with the joint density (k(2² + y*), 30

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Determine whether the two random variable of Exercise 3.44 are independent or dependent.

3.44 Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 pound per square inch (psi). Let X denote the actual air pressure for the right tire and Y denote the actual air pressure for the left tire. Suppose that X and Y are random variables with the joint density (k(z + y*), 30 < x < 50; 30 <x < 50; 30 <y < 50, f(z, y) = 0, lo elsewhere. (a) Find k. (b) Find P(30 < X < 40 and 40 < Y < 50). (c) Find the probability that both tires are underfilled.
Transcribed Image Text:3.44 Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 pound per square inch (psi). Let X denote the actual air pressure for the right tire and Y denote the actual air pressure for the left tire. Suppose that X and Y are random variables with the joint density (k(z + y*), 30 < x < 50; 30 <x < 50; 30 <y < 50, f(z, y) = 0, lo elsewhere. (a) Find k. (b) Find P(30 < X < 40 and 40 < Y < 50). (c) Find the probability that both tires are underfilled.
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