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 three of the six M&M's are brown. Compute the probability that three or four of the six M&M's are brown. Compute the probability that at most three of the six M&M's are brown. Compute the probability that at least three of the six M&M's are brown. If you repeatedly select random samples of six 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 With what standard deviation? (Round your answer to two decimal places.) brown M&M's

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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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 three of the six M&M's are brown.
Compute the probability that three or four of the six M&M's are brown.
Compute the probability that at most three of the six M&M's are brown.
Compute the probability that at least three of the six M&M's are brown.
If you repeatedly select random samples of six 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
With what standard deviation? (Round your answer to two decimal places.)
brown M&M's
Transcribed Image Text: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 three of the six M&M's are brown. Compute the probability that three or four of the six M&M's are brown. Compute the probability that at most three of the six M&M's are brown. Compute the probability that at least three of the six M&M's are brown. If you repeatedly select random samples of six 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 With what standard deviation? (Round your answer to two decimal places.) brown M&M's
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