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Each rear tire on an experimental airplane is supposed to be filled to a pressure of 44 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), 34≤x<54, 34 ≤y <54 f(x,y) = elsewhere (a) Find k. k= 3 4726400 (b) Find P(37≤x≤ 40 and 47 ≤Y≤51). P(37 ≤x≤ 40 and 47 ≤Y ≤51) = (Simplify your answer.)

Each rear tire on an experimental airplane is supposed to be filled to a pressure of 44 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), 34≤x<54, 34 ≤y <54 f(x,y) = elsewhere (a) Find k. k= 3 4726400 (b) Find P(37≤x≤ 40 and 47 ≤Y≤51). P(37 ≤x≤ 40 and 47 ≤Y ≤51) = (Simplify your answer.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help with parts B and C

b)  Find P (37 ≤ X ≤ 40 and 47 ≤ Y < 51).

(c) Find the probability that both tires are underfilled.

Each rear tire on an experimental airplane is supposed to be filled to a pressure of 44 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), 34≤x<54, 34 ≤y <54 f(x,y)= elsewhere (a) Find k. k= 3 4726400 (b) Find P(37≤x≤ 40 and 47 sY≤51). P(37 ≤x≤ 40 and 47 ≤Y ≤51) = (Simplify your answer.)
Transcribed Image Text:Each rear tire on an experimental airplane is supposed to be filled to a pressure of 44 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), 34≤x<54, 34 ≤y <54 f(x,y)= elsewhere (a) Find k. k= 3 4726400 (b) Find P(37≤x≤ 40 and 47 sY≤51). P(37 ≤x≤ 40 and 47 ≤Y ≤51) = (Simplify your answer.)
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