d) What is the probability that at most 12 people will prefer orange M&M's. e) What is the probability that between 5 and 12 people will prefer orange M&M's. f) Find the mean or expected value for the number of people that prefer orange M&M's out of 20 people. μ = E(X)=n-p

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Only solve parts D-F please. 

6.
According to the management at Mars Company, 32% of all people prefer orange M&M's to any
other color.
a) Since our job is quality control we want to make sure that this percentage is really accurate. To do
this we choose at random 20 people and ask them if they like orange or any of the other color M&M's.
Identify n, p, 1-p, and X for a binomial probability distribution.
b) What is the probability that exactly 10 people will prefer orange M&M's.
c) What is the probability that at least 8 people will prefer orange M&M's.
d) What is the probability that at most 12 people will prefer orange M&M's.
e) What is the probability that between 5 and 12 people will prefer orange M&M's.
f) Find the mean or expected value for the number of people that prefer orange M&M's out of 20 people.
μ = E(X)=n-p
Transcribed Image Text:6. According to the management at Mars Company, 32% of all people prefer orange M&M's to any other color. a) Since our job is quality control we want to make sure that this percentage is really accurate. To do this we choose at random 20 people and ask them if they like orange or any of the other color M&M's. Identify n, p, 1-p, and X for a binomial probability distribution. b) What is the probability that exactly 10 people will prefer orange M&M's. c) What is the probability that at least 8 people will prefer orange M&M's. d) What is the probability that at most 12 people will prefer orange M&M's. e) What is the probability that between 5 and 12 people will prefer orange M&M's. f) Find the mean or expected value for the number of people that prefer orange M&M's out of 20 people. μ = E(X)=n-p
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