1. According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M's from an extra-large bag of the candies. (Round all probabilities to four decimal places.) A. Compute the probability that exactly three of the six M&M's are orange. B. Compute the probability that three or four of the six M&M's are orange. C. Compute the probability that at most three of the six M&M's are orange. D. Compute the probability that at least three of the six M&M's are orange. E. If you repeatedly select random samples of six peanut M&M's, on average how many do you expect to be orange? (Round your answer to two decimal places.) ? orange M&M's F. With what standard deviation? (Round your answer to two decimal places.) ? orange M&M's

2. A jury pool has 16 people that are married and 19 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random without replacement, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.) (a) all married people. (b) all not married people. (c) 8 married and 4 that are not married. (d) 6 married and 6 that are not married.