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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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