# Question: For each of the following determine whether the given function

For each of the following, determine whether the given function can serve as the probability distribution of a random variable with the given range:

(a) f (x) = x- 2/5 for x = 1, 2, 3, 4, 5;

(b) f (x) = x2/30 for x = 0, 1, 2, 3, 4;

(c) f (x) = 1/5 for x = 0, 1, 2, 3, 4, 5.

(a) f (x) = x- 2/5 for x = 1, 2, 3, 4, 5;

(b) f (x) = x2/30 for x = 0, 1, 2, 3, 4;

(c) f (x) = 1/5 for x = 0, 1, 2, 3, 4, 5.

## Relevant Questions

The probability density of the random variable Y is given by Find P(Y < 3.2) and P(2.9 < Y < 3.2). With reference to Exercise 3.24, find the distribution function of Z and draw its graph. In exercise The probability density of the random variable Z is given by Find the distribution function of the random variable X whose probability density is given by Also sketch the graphs of these probability density and distribution functions. 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 density of X and Y is given by Find (a) P(X ≤ 1/2 , Y ≤ 1/2 ); (b) P(X + Y > 2/3 ); (c) P(X > 2Y).Post your question