1) The probability distribution of a random variable X is given below If mean of X is 4.2, then a and b are respectively equal to A) 0.3,0.2 B) 0.1,0.4 C) 0.1,0.2 D) 0.2,0.1 Answer: Option CExplanation: We have, ∑Pi=a+a+a+b+b+b+0.3 ⇒ 1=3a+2b+0.3 ⇒ 3a+2b=0.7 .........(i) ∑Pixi=a+2a+3a+4b+5b+1.8 ⇒ 4.2=6a+9b+1.8 ⇒ 2a+3b=0.8 .........(ii) Solving Eqs,(i) and (ii), we get a=0.1, b=0.2