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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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Please answer the problem completely.
5. Suppose that a continuous random variable X has PDF
– x²) -1<x <1
f(x) =
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:5. Suppose that a continuous random variable X has PDF – x²) -1<x <1 f(x) = 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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