# Question: If the joint probability distribution of X and Y is

If the joint probability distribution of X and Y is given by

f(x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 find the value of c.

f(x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 find the value of c.

## Answer to relevant Questions

With reference to Exercise 3.44 and the value obtained for c, Find (a) P(X ≤ 1, Y > 2); (b) P(X = 0, Y ≤ 2); (c) P(X + Y > 2). In exercise f (x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 If the joint probability density of X and Y is given by Find (a) P(X ≤ 1/2 , Y ≤ 1/2 ); (b) P(X + Y > 2/3 ); (c) P(X > 2Y). Use the formula obtained in Exercise 3.58 to verify the result of Exercise 3.55. In exercise If F(x, y) is the value of the joint distribution function of the two continuous random variables X and Y at (x, y), express P(a < ...With reference to Exercise 3.42 on page 90, In exercise If the values of the joint probability distribution of X and Y are as shown in the table Find (a) The marginal distribution of X; (b) The marginal distribution of Y; ...If F( x, y) is the value of the joint distribution function of X and Y at ( x, y), show that the marginal distribution function of X is given by G( x) = F( x,∞) for - ∞ < x < ∞ Use this result to find the marginal ...Post your question