# Question

Let a random experiment be the casting of a pair of fair dice, each having six faces, and let the random variable X denote the sum of the dice.

(a) With reasonable assumptions, determine the pmf f(x) of X.

(b) Draw a probability histogram for f(x).

(a) With reasonable assumptions, determine the pmf f(x) of X.

(b) Draw a probability histogram for f(x).

## Answer to relevant Questions

A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1, 4, and 5. The two dice are rolled. Let X and Y be the respective outcomes of the roll. Let W = ...Let the pmf of X be defined by f(x) = 6/(π2x2), x = 1, 2, 3, . . .. Show that E(X) = +∞ and thus, does not exist. Let μ and σ2 denote the mean and variance of the random variable X. Determine E[(X − μ)/σ] and E{[(X − μ)/σ]2}. Suppose that in Exercise 2.4-1, X = 1 if a red ball is drawn and X = −1 if a white ball is drawn. Give the pmf, mean, and variance of X. Find P(X = 4) if X has a Poisson distribution such that 3P(X = 1) = P(X = 2).Post your question

0