24.3 and a variance of (1 point) X is a random variable having a probability dis

Question

24.3 and a variance of (1 point) X is a random variable having a probability distribution with a mean/expected value of E(X) Var(X) = 25 Consider the following random variables A=2x Answer parts (a) through (c) Part (a) Find the expected value and variance of A E(A) = Var(A) = E(use two decimals) ii (use two decimals) Part (b) Find the expected value and variance of B. E(B) = Var(B) = (use two decimals) ii (use two decimals) Part (c) Find the expected value and standard deviation of C. E(C) = SD(C) = i(use two decimals) i(use two decimals)

Explanation / Answer

a) E(A)=2E(X)=2*24.3 =48.6

Var(A) =22*Var(X)= 4*25 =100

b)
E(B)=2E(X)-4 =44.6

Var(B)=22*Var(X) =100

c)

E(C)=-4E(X)+7 =-4*24.3+7=-90.2

V(C)=42*Var(X)=16*25 =400

hence SD(C)=(400)1/2 =20

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