Find the mean μ, variance σ 2 for the following probability distribution: - Wired Faculty

Probability

Question

Find the mean μ, variance σ² for the following probability distribution:

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Solution

Mean

straight mu space equals space sum from blank to blank of XP left parenthesis straight X right parenthesis

equals space 12 over 8 space equals space 3 over 2 space equals space 1.5

Variance

straight sigma squared space equals space sum from blank to blank of straight X squared space straight P left parenthesis straight X right parenthesis space space minus space left parenthesis sum from blank to blank of straight X thin space straight P left parenthesis straight X right parenthesis right parenthesis squared space space

equals space 24 over 8 space minus space left parenthesis 1.5 right parenthesis squared space equals 3 minus 2.25 space equals space 0.75

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