The probability distribution of X is given as: f(x) = { 0.4; x = 1 (x-1)/4; 1 < x < 2 (3-x)/4; 2 ≤ x < 3 0.6; x = 3 0; elsewhere] (i) Find the mean of X (ii) Find the variance of X

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The probability distribution of X is given as:

f(x) = { 0.4; x = 1

(x-1)/4; 1 < x < 2

(3-x)/4; 2 ≤ x < 3

0.6; x = 3

0; elsewhere]

(i) Find the mean of X (ii) Find the variance of X

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Step 1: Mean of X

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