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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8544e3b5-2b0c-471f-a731-3ab2ed8f181c%2F96bbf935-919b-432f-acb0-1fc0d6596738%2Frpc9qif_processed.png&w=3840&q=75)
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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