Question
The pdf of two-component spliced distribution is given below. f(x) =0.01, for 0 ≤ x <...
The pdf of two-component spliced distribution is given below. f(x) =0.01, for 0 ≤ x < 50 and 0.02 for 50 ≤ x ≤ 75 and 0 otherwise. Find the variance of X.
Homework Answers
Answer #1
Variance of X = Var(X) = E(X2) - [ E(X) ]2
Integrating we get :
Now,
Integrating we get :
Variance of X = Var(X) = E(X2) - [ E(X) ]2 = 2395.833 - ( 43.75)2 = 481.771
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