Each rear tire on an experimental airplane is supposed to be filled to a pressure of 47 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 shown below. Complete parts (a) through (c). k(x² + y²), 33≤x≤61, 33 ≤y<61 0, elsewhere f(x,y)= (a) Find k. k= 3 10698464 (b) Find P(33 ≤x≤44 and 51 ≤Y≤61). P(33 ≤x≤44 and 51 ≤ y ≤61)= (Simplify your answer.)
Each rear tire on an experimental airplane is supposed to be filled to a pressure of 47 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 shown below. Complete parts (a) through (c). k(x² + y²), 33≤x≤61, 33 ≤y<61 0, elsewhere f(x,y)= (a) Find k. k= 3 10698464 (b) Find P(33 ≤x≤44 and 51 ≤Y≤61). P(33 ≤x≤44 and 51 ≤ y ≤61)= (Simplify your answer.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 14E
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