2. Suppose that a continuous random variable X has PDF f(x) = 4 (1–x²) -1

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2. Suppose that a continuous random variable X has PDF
f(x) =
(1 – x²) -1<x<1.
else
(a) Determine P(X < 0.75)
(b) Determine P(0 < X < 0.5)
(c) Determine the expected value
(d) Determine its variance and standard deviation.
Transcribed Image Text:2. Suppose that a continuous random variable X has PDF f(x) = (1 – x²) -1<x<1. else (a) Determine P(X < 0.75) (b) Determine P(0 < X < 0.5) (c) Determine the expected value (d) Determine its variance and standard deviation.
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