Question

In: Statistics and Probability

Show that Var(x-a/)=1/h^2 Var(x)

Expert Solution

Variance of a random variable is defined as the sum of square of standard deviations of random variable from its mean.

#If the variable is Discrete.

Var( X ) = =

where, is the mean of X defined as,

E( X ) = =

Now, to find the variance of

Hence,

#If the variable is continuous then the Mean and variance are defined as,

Hence, proved that for discrete as well as a continuous random variable.

I hope you find the solution helpful. Feel free to ask any doubt in the comment section.

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orchestra answered 1 year ago

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