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The probablity distribution of a random ...

The probablity distribution of a random variable X ,
the number of defects per 10 meters of a fabric is given by

Find the variance of X .

Text Solution

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`E(X) = mu = Ep_(i) x_(i) 0.82 `
Now, Van (x) `= sum p_(i) x_(i)^(2) - mu^(2)`
` = 1.54 - (0.82)^(2)`
` = 1.54 - 0.6724 `
` therefore Var (X) = 0.8676 ` .
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