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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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
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The cumulative distribution function is
F(x)=0, for x< c
F(x)=1, for x>=c