Problem
M&Ms are "colorful button shaped chocolates." Suppose that from our point of view as a consumer, each M&Ms: M&Ms is equally likely to have one of c different colors. We randomly sample 3 M&Ms: the two have the same color, whereas the third M&M has a color different from the first tow. Find the maximum likelihood estimate for c. We sample a fourth M&M which happens to have a color different from the colors we have seen so far in our sample. Taking this new data into consideration, what is now the maximum likelihood estimate for c?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.