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)= 0, elsewhere

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I need help with this parts a to c

(a) Find k.
(b) Find P (34 ≤ X ≤ 54 and 34 ≤ Y < 54).
(c) Find the probability that b oth 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).
<(x² + y²), 34≤x<54, 34 ≤y < 54
f(x,y)=
elsewhere
(a) Find k.
k=
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). <(x² + y²), 34≤x<54, 34 ≤y < 54 f(x,y)= elsewhere (a) Find k. k=
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