Question

(b) Develop a probability distribution for x y. x y f(x y) 130 Incorrect: Your answer is incorrect. 80 Incorrect: Your answer is incorrect. 100 Incorrect: Your answer is incorrect.

Answer 1

Answer:

P(X = x, Y = y) = f(x, y)

Step-by-step explanation:

Let X be a discrete random variable, and suppose that the possible values that it can assume are given by x1, x2,  x3, . . . , arranged in some order. Suppose also that these values are assumed with probabilities given by

P(X = xk) = f(xk)                k = 1, 2, . . . (1)

It is convenient to introduce the probability function, also referred to as probability distribution, given by

P(X = x) = f(x)

If X and Y are two discrete random variables, we define the joint probability function

of X and Y by

P(X = x, Y = y) = f(x, y)

where f(x, y) ≥ 0