Answered: Given a random variable X with anf(x) =…

Given a random variable X with anf(x) = x between 0 and 1, with an f(x) = x/3 between 1 and 2, and f(x) = 0 for all other values. Determine: a P(0.5 < X < 1.5)_. b. E[X] C. V[x]

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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Question

3. Given a random variable X with anf(x) = x between 0 and 1, with an f(x) = x/3 between 1 and 2, and f(x) = 0 for all other values. Determine: a P(0.5 < X < 1.5)_. b. E[X] C. V[x]

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Step 2: Calculate P(0.5<X<1.5)

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Step 3: Calculate E(X)

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Step 4: Calculate V(X)

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