Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40

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Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 pounds 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 function

Sk(x² + y³), 30 <x < 50, 30 < y < 50, F(æ. u) = {k(x² +y“), 30 <x < 50, 30 < y < 50, elsewhere. 10,


(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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Essentials Of Probability And Statistics For Engineers And Scientists

ISBN: 9780321783738

1st Edition

Authors: Ronald E. Walpole, Raymond Myers, Sharon L. Myers, Keying E. Ye

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