# Question

Use the results of Exercise 3.39 to find expressions for the values of the probability density of the mixed random variable X for

(a) x< 0;

(b) 0< x< 0.5;

(c) 0.5< x< 1;

(d) x> 1.

P(X = 0.5) = 1/2 , as we already indicated on page 80, and f (0) and f (1) are undefined.

(a) x< 0;

(b) 0< x< 0.5;

(c) 0.5< x< 1;

(d) x> 1.

P(X = 0.5) = 1/2 , as we already indicated on page 80, and f (0) and f (1) are undefined.

## Answer to relevant Questions

The distribution function of the mixed random variable Z is given by Find P(Z = - 2), P(Z = 2), P(- 2< Z< 1), and P(0 ≤ Z ≤ 2). If the joint probability distribution of X and Y is given by f(x, y) = 1/30 (x+ y) for x = 0, 1, 2, 3; y = 0, 1, 2 Construct a table showing the values of the joint distribution function of the two random variables at the ...Use the joint probability density obtained in Exercise 3.54 to find P(1< X ≤ 2, 1< Y ≤ 2). In exercise With reference to Exercise 3.62, In exercise Find k if the joint probability distribution of X, Y, and Z is given by f(x,y,z) = kxyz For x = 1, 2; y = 1, 2, 3; z = 1, 2. Find the following values of the joint distribution ...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.Post your question

0