# Question: With reference to Example 3 22 verify that the three random

With reference to Example 3.22, verify that the three random variables X1, X2, and X3 are not independent, but that the two random variables X1 and X3 and also the two random variables X2 and X3 are pairwise independent.

Example 3.22

Considering again the trivariate probability density of Example 3.19,

Find the joint marginal density of X1 and X3 and the marginal density of X1 alone.

Example 3.22

Considering again the trivariate probability density of Example 3.19,

Find the joint marginal density of X1 and X3 and the marginal density of X1 alone.

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

With reference to Example 3.3, find the probability distribution of Y, the difference between the number of heads and the number of tails obtained in four tosses of a balanced coin. Example 3.3 Find a formula for the ...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. Two textbooks are selected at random from a shelf that contains three statistics texts, two mathematics texts, and three physics texts. If X is the number of statistics texts and Y the number of mathematics texts actually ...Find µ, µ'2, and s2 for the random variable X that has the probability distribution f(x) = 12 for x = –2 and x = 2. The extent to which a distribution is peaked or flat, also called the kurtosis of the distribution, is often measured by means of the quantity α4 = µ4/σ4 Use the formula for µ4 obtained in Exercise 4.25 to find α4 for ...Post your question