In: Statistics and Probability
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 four peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)
A. Compute the probability that exactly two of the four M&M’s are brown.
B. Compute the probability that two or three of the four M&M’s are brown.
C. Compute the probability that at most two of the four M&M’s are brown.
D. Compute the probability that at least two of the four M&M’s are brown.
E. If you repeatedly select random samples of four peanut M&M’s, on average how many do you expect to be brown? (Round your answer to two decimal places.) brown M&M’s
F. With what standard deviation? (Round your answer to two decimal places.) brown M&M’s