Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

Consider the following statements where X is a random variable and a, b are real numbers :

(A) $E(aX+b)=aE(X)+b$

(B) $E(aX+b)=a^2E(X)+b$

(C) $Var(aX+b)=a^2Var(X)$

(D) $Var(aX+b)=aVar(X)+b$

(E) $Var(X)=[E(X)]^2+E(X^2)$

Choose the correct answer from the options given below :

Options:

(A) and (B) Only

(A) and (C) Only

(B), (C), (D) Only

(C), (E) Only

Correct Answer:

(A) and (C) Only