sample mean and variance

Jeonsah

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Joined
Feb 5, 2012
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14
Hey guys, I am lost on how to calculate the sample mean/variance for this problem:

Plot the probability mass function of the sample mean of X1, ...,Xn, when
a) n = 2;
a) n = 3.

Assume that the probability mass function of the sample mean of X1,...,Xn is
P{X = 0} = .2, P{X = 1} = .3, P{X = 3} = .5


The answer in the back of the book is
E[sample mean] = 1.8
V[Sample mean] = 4.8/n

Any help is appreciated.
 
You must resort to the definition of the mean. Let's see what you get.
 
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