Let the random variable x be equally likely to assume any of the values 1/10, 1/5, or 3/10. determine the mean and variance of x. the mean is

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27-06-2018
Mathematics

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Let the random variable x be equally likely to assume any of the values 1/10, 1/5, or 3/10. determine the mean and variance of x. the mean is

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sqdancefan sqdancefan · Answer 1 · 2018-07-02T21:03:17+02:00

sqdancefan sqdancefan

02-07-2018

Since the values are equally likely and equally spaced, their mean is the middle one.
the mean is 1/5

The variance is the average of the square of the deviations from the mean.
σ² = (1/3)((-1/10)² + 0² + (1/10)²) = 2/300
the variance is 2/300

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