# Question: With reference to Figure 3 9 find expressions for the values

With reference to Figure 3.9, find expressions for the values of the distribution function of the mixed random variable X for

(a) x ≤ 0;

(b) 0< x< 0.5;

(c) 0.5 F x< 1;

(d) x ≥ 1.

Figure 3.9

(a) x ≤ 0;

(b) 0< x< 0.5;

(c) 0.5 F x< 1;

(d) x ≥ 1.

Figure 3.9

## Relevant Questions

For each of the following, determine c so that the function can serve as the probability distribution of a random variable with the given range: (a) f(x) = cx for x = 1, 2, 3, 4, 5; (b) (c) f(x) = cx2 for x = 1, 2, 3, . . . ...If the joint probability distribution of X and Y is given by f(x, y) = c(x2 + y2) for x = - 1, 0, 1, 3; y = - 1, 2, 3 find the value of c. If the joint probability density of X and Y is given by Find the probability that the sum of the values of X and Y will exceed 1/2 . 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. Check whether X and Y are independent if their joint probability distribution is given by (a) f (x, y) = 1/4 for x = - 1 and y = - 1, x = - 1 and y = 1, x = 1 and y = - 1, and x = 1 and y = 1; (b) f (x, y) = 1/3 for x = 0 ...Post your question