SOLUTION: A degenerate random variable is a random variable taking a constant value. Let X = c. Show that E(X) = c, and Var(X) = 0. Also find the cumulative distribution function of the dege

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Question 1177298: A degenerate random variable is a random variable taking a constant value. Let X = c. Show that E(X) = c, and Var(X) = 0. Also find the cumulative distribution function of the degenerate distribution of X.

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Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
E(X)= nc/n or c.
Var (X)=E(X-E(X))^2
=E(c-c)^2
=0
-
The cumulative distribution function is
F(x)=0, for x< c
F(x)=1, for x>=c

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