upposed to be filled to a pressure of 40 pounds per quare inch (psi). Let X denote the actual air pressure r the right tire and Y denote the actual air pressure or the left tire. Suppose that X and Y are random ariables with the joint density function (r, y) = {k(x + y"), 30

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Determine if the random variables X and Y are statistically independent or not. NO NEED SOLUTIONS

3.44 Each rear tire on an experimental airplane is
supposed to be filled to a pressure of 40 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
f(2, 4) = {0
Sk(a? + y?), 30 < # < 50, 30 <y < 50,
1o,
elsewhere.
(a) Find k.
(b) Find P(30 <X < 40 and 40 <Y < 50).
Transcribed Image Text:3.44 Each rear tire on an experimental airplane is supposed to be filled to a pressure of 40 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 f(2, 4) = {0 Sk(a? + y?), 30 < # < 50, 30 <y < 50, 1o, elsewhere. (a) Find k. (b) Find P(30 <X < 40 and 40 <Y < 50).
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