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SOLVED: X is a continuous uniform (-7, 7) random variable, and Y = X^2.(a) Find the CDF of Y.Fy(y) = P(Y ≤ y) = P(X^2 ≤ y) = P(-√y ≤ X ≤ √y) = √y/14 1/2(b) What is the PDF of Y?f(y) = dFy(y)/dy = 1/(28√y) for 0 < y < 49, otherwise 0.
SOLVED: X is a continuous uniform (-7, 7) random variable, and Y = X^2.(a) Find the CDF of Y.Fy(y) = P(Y ≤ y) = P(X^2 ≤ y) = P(-√y ≤ X ≤ √y) = √y/14 1/2(b) What is the PDF of Y?f(y) = dFy(y)/dy = 1/(28√y) for 0 < y < 49, otherwise 0.
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SOLVED: X is a continuous uniform (-7, 7) random variable, and Y = X^2.(a) Find the CDF of Y.Fy(y) = P(Y ≤ y) = P(X^2 ≤ y) = P(-√y ≤ X ≤ √y) = √y/14 1/2(b) What is the PDF of Y?f(y) = dFy(y)/dy = 1/(28√y) for 0 < y < 49, otherwise 0.
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