Reference no: EM13834584

1. Let f(x) given below represent the PMF of the random variable X.

 

               1/5        if X = -2, -1, 0, 1, 2 

f(x) = {

               0            elsewhere

a. re-write the above PMF as a table.

b. graph f(x).

c. find the cumulative distribution function, F(x) of X

d. graph F(x)

2. Suppose Ana has a pair of dice (the traditional six-sided kind). Let X = the difference of the largest minus the smallest number showing on the dice. Find the PMF for X.

This needs to be in a f(x), F(x) table please, where the bottom is equal to 1.

3. Let f(x) = 5!/x!(5-x)!  x (1/3)^x (2/3)^5-x                X=0,1,2,3,4,5

Verify that f(x) is a probability mass function (PMF).