Five balls, numbered 1, 2, 3, 4, and 5 are placed in an urn. Two balls are randomly selected, and their numbers are noted. Find the pmf of the following random variables:
a. The larger of the two sampled numbers
b. The sum of the two sampled numbers
2. Find the mean and variances of the two RVs in Question 1.
3. Find the cdf of the two RVs in Question 1.