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).