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The density function of a random variable X is expressed as f(x) = e*-x for x > 4. (a) Find the cumulative distribution function. Determine also the following probabilities. (b) P(X > 6) (c) P(2 < X < 5) (d) P(8 < X < 12) (e) P(X > 1)

The density function of a random variable X is expressed as f(x) = e*-x for x > 4. (a) Find the cumulative distribution function. Determine also the following probabilities. (b) P(X > 6) (c) P(2 < X < 5) (d) P(8 < X < 12) (e) P(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 a random variable X is expressed as f(x) = e4-x for x > 4. (a) Find the cumulative distribution function. Determine also the following probabilities. (b) P(X > 6) (c) P(2 < X < 5) (d) P(8 < X < 12) (e) P(X > 1)
Transcribed Image Text:The density function of a random variable X is expressed as f(x) = e4-x for x > 4. (a) Find the cumulative distribution function. Determine also the following probabilities. (b) P(X > 6) (c) P(2 < X < 5) (d) P(8 < X < 12) (e) P(X > 1)
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