1. (a) The probability density function for a random variable X is given by a, 0 0.5).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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1. (a) The probability density function for a random variable X is given by
a, 0 <x < 1;
fx(x) = { b, 1< x < 2;
0, otherwise.
i. You are given that E(X) = 5/6. Find a and 6.
ii. Find the cumulative distribution function (CDF) of X.
iii. Find P(|X – 1| > 0.5).
Transcribed Image Text:1. (a) The probability density function for a random variable X is given by a, 0 <x < 1; fx(x) = { b, 1< x < 2; 0, otherwise. i. You are given that E(X) = 5/6. Find a and 6. ii. Find the cumulative distribution function (CDF) of X. iii. Find P(|X – 1| > 0.5).
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