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.)

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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
f(x,y) =
elsewhere
(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.)
Transcribed Image Text: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 f(x,y) = elsewhere (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.)
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