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 six 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%.)
Compute the probability that exactly two of the six M&M’s are red
Compute the probability that two or three of the six M&M’s are red.
Compute the probability that at most two of the six M&M’s are red.
Compute the probability that at least two of the six M&M’s are red
If you repeatedly select random samples of six peanut M&M’s, on average how many do you expect to be red? (Round your answer to two decimal places.)
With what standard deviation? (Round your answer to two decimal places.)