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The density function of X is given by If E(X)=, find a and b. f(x) = a + bx², 0≤x≤1.

The density function of X is given by If E(X)=, find a and b. f(x) = a + bx², 0≤x≤1.

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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The density function of \( X \) is given by \[ f(x) = a + bx^2, \quad 0 \leq x \leq 1. \] If \( E(X) = \frac{3}{5} \), find \( a \) and \( b \). 3. If \( X \) is uniformly distributed over \((-1, 1)\), find \( \Pr(|2X - 1| > 0.5) \).
Transcribed Image Text:The density function of \( X \) is given by \[ f(x) = a + bx^2, \quad 0 \leq x \leq 1. \] If \( E(X) = \frac{3}{5} \), find \( a \) and \( b \). 3. If \( X \) is uniformly distributed over \((-1, 1)\), find \( \Pr(|2X - 1| > 0.5) \).
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