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

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).

Find

(a) P(X ≤ 1/2 , Y ≤ 1/2 );

(b) P(X + Y > 2/3 );

(c) P(X > 2Y).

**View Solution:**## Answer to relevant Questions

If the joint probability density of X and Y is given by Find the probability that the sum of the values of X and Y will exceed 1/2 . Use the formula obtained in Exercise 3.58 to verify the result, 0.074, of Example 3.17. 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 ...With reference to Exercise 3.65, find P(X + Y < 1/2 ). In exercise Find k if the joint probability density of X, Y, and Z is given by If the joint probability density of X and Y is given by Find (a) The marginal density of X; (b) The marginal density of Y. Also determine whether the two random variables are independent. The probability distribution of V, the weekly number of accidents at a certain intersection, is given by g(0) = 0.40, g(1) = 0.30, g(2) = 0.20, and g(3) = 0.10. Construct the distribution function of V and draw its graph.Post your question