2. A package contains 14 chocolate donuts and 6 vanilla donuts. You will randomly select 10 donuts from the package. Let X represent the total number of chocolate donuts you select. To answer parts (a) and (b), simply state the name of the probability distribution and the values of its relevant parameters. (a) If you sample without replacement, what is the probability distribution of X? (b) If you sample with replacement, what is the probability distribution of X? (c) Would it be appropriate to use the probability distribution in part (b) to approximate the probability distribution in part (a)? Explain. (d) For each scenario in parts (a) and (b), compute the probability you select between 7 and 9 chocolate donuts, inclusive.