2. Suppose the number of orange M&Ms in a bag are normally distributed with a mean 13 and a standard deviation of o=1.67. a) If one bag is randomly selected, find the probability that the number of orange M&Ms is between 11 and 15. b) If 4 bags are randomly selected, find the probability that the mean number of orange M&Ms is between 11 and 15. c) Since we really like orange M&Ms we are hoping to get as many as we can. If we want to receive the top 5% of all orange M&M's, how many orange M&M's will we get?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2.
Suppose the number of orange M&Ms in a bag are normally distributed with a mean = 13 and
a standard deviation of o = 1.67.
a) If one bag is randomly selected, find the probability that the number of orange M&Ms is between 11
and 15.
b) If 4 bags are randomly selected, find the probability that the mean number of orange M&Ms is between
11 and 15.
c) Since we really like orange M&Ms we are hoping to get as many as we can. If we want to receive the
top 5% of all orange M&M's, how many orange M&M's will we get?
Transcribed Image Text:2. Suppose the number of orange M&Ms in a bag are normally distributed with a mean = 13 and a standard deviation of o = 1.67. a) If one bag is randomly selected, find the probability that the number of orange M&Ms is between 11 and 15. b) If 4 bags are randomly selected, find the probability that the mean number of orange M&Ms is between 11 and 15. c) Since we really like orange M&Ms we are hoping to get as many as we can. If we want to receive the top 5% of all orange M&M's, how many orange M&M's will we get?
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