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

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

Find P(X + Y < 1/2).

Find P(X + Y < 1/2).

## Answer to relevant Questions

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 joint probability density obtained in Exercise 3.56 to find P(X + Y > 3). In exercise Find k if the joint probability density of X, Y, and Z is given by With reference to Exercise 3.74, In exercise If the joint probability density of X and Y is given by Find (a) The marginal density of Y; (b) The conditional density of X given Y = 1. With reference to Exercise 3.85, find the distribution function of the random variable X and plot its graph. In exercise A coin is biased so that heads is twice as likely as tails. For three independent tosses of the ...Post your question