# 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) The marginal density of X;

(b) The conditional density of Y given X = 1/4.

Find

(a) The marginal density of X;

(b) The conditional density of Y given X = 1/4.

## Relevant Questions

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. If F(x1, x2, x3) is the value of the joint distribution function of X1, X2, and X3 at (x1, x2, x3), show that the joint marginal distribution function of X1 and X3 is given by M(x1, x3) = F(x1, ∞, x3) for - ∞ < x1 < ...With reference to Exercise 3.80 on page 101, find the distribution function of the sum of the spots on the dice, that is, the probability that this sum of the spots on the dice will be at most S, where S = 2, 3, . . . , 12. X is the number of heads and Y the number of heads minus the number of tails obtained in three flips of a balanced coin, construct a table showing the values of the joint probability distribution of X and Y. Find µ'r and σ2 for the random variable X that has the probability densityPost your question