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SupposethepdfofarandomvariableXisgivenbyf(x)=1/3for−1
题目详情
Suppose the pdf of a random variable X is given by
f(x) = 1/3 for −1 < x < 2
f(x) = 0 otherwise
(a) If Y = X^2 find the cdf,G(y),and pdf,g(y),of Y .(Think carefully about the support of y)
(b) Sketch the graph of g(y).[1 mark]
(c) Find E(Y ),SD(Y ) and median of Y .Compare the mean and median.
f(x) = 1/3 for −1 < x < 2
f(x) = 0 otherwise
(a) If Y = X^2 find the cdf,G(y),and pdf,g(y),of Y .(Think carefully about the support of y)
(b) Sketch the graph of g(y).[1 mark]
(c) Find E(Y ),SD(Y ) and median of Y .Compare the mean and median.
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