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Given that bar x is the mean and sigma^...

Given that ` bar x` is the mean and `sigma^2` is the variance of n observations `x_1x_2` , ..., `x_n` . Prove that the mean and variance of the observations `a x_1,""""a x_2` , `a x_3,""""dot""""dot""""dot"""",""a x_n` are `a bar x` and `a^2sigma^2` ,

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