Each rear tire on an experimental airplane is supposed to be filled to a pressure of 36 pounds per square inch (psi). Let X denote the actual air pressure for the right tire and 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). (x² + y²), 30≤x≤42, 30 ≤ y < 42 elsewhere f(x,y) = (a) Find k. k= 1 376704 (b) Find P(32 ≤x≤ 34 and 37 ≤Y ≤ 40). P(32 ≤x≤34 and 37 ≤ y ≤40) = (Simplify your answer.)
Each rear tire on an experimental airplane is supposed to be filled to a pressure of 36 pounds per square inch (psi). Let X denote the actual air pressure for the right tire and 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). (x² + y²), 30≤x≤42, 30 ≤ y < 42 elsewhere f(x,y) = (a) Find k. k= 1 376704 (b) Find P(32 ≤x≤ 34 and 37 ≤Y ≤ 40). P(32 ≤x≤34 and 37 ≤ y ≤40) = (Simplify your answer.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Transcribed Image Text:Each rear tire on an experimental airplane is supposed to be filled to a pressure of 36
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).
(a) Find k.
k=
k(x² + y²), 30≤x≤42, 30 ≤ y < 42
{1602²
elsewhere
f(x,y) =
1
376704
(b) Find P(32≤x≤ 34 and 37 ≤Y ≤ 40).
P(32 ≤x≤ 34 and 37 ≤Y ≤40) =
(Simplify your answer.)
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