Answer the following questions (Alternatives are to be noted): For a random variable X, show that `[E (x^2)]^(1/2) ge E(x)`.

Answer the following questions (Alternatives are to be noted) : Explain M.V.U.E.

Answer the following questions (Alternatives are to be noted): What is the value of sqrt(5/2)

Answer the following questions (Alternatives are to be noted) : Define median for a discrete random variable.

Answer the following questions (Alternatives are to be noted): If x is continuous random variable with p. d. f. {(1/2 - ax, ""0 le x le 4),(0,""otherwise):} where a is a constant, then find the value of a.

Answer the following questions (Alternatives are to be noted): If a random variable X follows binomial distribution with mean = 2 and E(x^2) = 28/5 then find P(x != 0)

Answer the following questions (Alternatives are to be noted): If a random variable X follows binomial distribution with mean = 2 and E(x^2) = 28/5 , find P(x != 0).

Answer the following questions (Alternatives are to be noted) : If X be a continuous random variable with p.d.f. f(x) = k, ale xleb 0, otherwise Find E(x)

Answer the following questions : (Alternatives are to be noted): A Continuous random variable x has a density function given by f(x) = 1/2 - ax, 0lexle4=0 else where Find (i) The constant a (ii) p(2x+3>5).

Answer the following questions (Alternatives are to be noted): What do you mean by simple random sampling?

Answer the following questions (Alternatives are to be noted): Give two examples of control chart for variables.