# Question: With reference to Example 3 22 on page 94 In exercise The

With reference to Example 3.22 on page 94,

In exercise

The p. d. f. of the random variable X is given by

Find

(a) The conditional density of X2 given X1 = 1/3 and X3 = 2;

(b) The joint conditional density of X2 and X3 given X1 = 1/2 .

In exercise

The p. d. f. of the random variable X is given by

Find

(a) The conditional density of X2 given X1 = 1/3 and X3 = 2;

(b) The joint conditional density of X2 and X3 given X1 = 1/2 .

## Answer to relevant Questions

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 ...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 ...The shelf life (in hours) of a certain perishable pack-aged food is a random variable whose probability density function is given by Find the probabilities that one of these packages will have a shelf life of (a) at least ...With reference to Exercise 3.62 on page 91, find the expected value of U = X + Y + Z. If the probability density of X is given by Check whether its mean and its variance exist.Post your question