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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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