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a. Find the value of K. o. What is the probability that both tires are fully filled, that is, P(X≥ 26 and Y≥26)? c. Determine the marginal distribution function of X.

a. Find the value of K. o. What is the probability that both tires are fully filled, that is, P(X≥ 26 and Y≥26)? c. Determine the marginal distribution function of X.

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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Each front tire of a 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 - {*(x² + [K(x² + y²) 20≤x≤ 30, 20 ≤ y ≤ 30 0 otherwise f(x, y) = a. Find the value of K. b. What is the probability that both tires are fully filled, that is, P(X ≥ 26 and Y≥ 26)? c. Determine the marginal distribution function of X. d. Are X and Y independent random variables?
Transcribed Image Text:Each front tire of a 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 - {*(x² + [K(x² + y²) 20≤x≤ 30, 20 ≤ y ≤ 30 0 otherwise f(x, y) = a. Find the value of K. b. What is the probability that both tires are fully filled, that is, P(X ≥ 26 and Y≥ 26)? c. Determine the marginal distribution function of X. d. Are X and Y independent random variables?
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