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In: Statistics and Probability

1. According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15%...

1. 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. (Round your answers to 4 decimal places where possible)

a. Compute the probability that a randomly selected peanut M&M is not blue.



b. Compute the probability that a randomly selected peanut M&M is blue or orange.



c. Compute the probability that three randomly selected peanut M&M’s are all yellow.



d. If you randomly select three peanut M&M’s, compute that probability that none of them are brown.



e. If you randomly select three peanut M&M’s, compute that probability that at least one of them is brown.

2.  To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course are weighted by the number of credits for the course. Suppose a student had these grades:
3.6 in a 5 credit Math course
1.8 in a 3 credit Music course
2.6 in a 4 credit Chemistry course
3.2 in a 6 credit Journalism course
What is the student's GPA for that term? Round to two decimal places. Student's GPA =

3. The average student loan debt for college graduates is $25,900. Suppose that that distribution is normal and that the standard deviation is $11,400. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.

a. What is the distribution of X? X ~ N( , )

b Find the probability that the college graduate has between $19,200 and $33,500 in student loan debt.

c. The middle 10% of college graduates' loan debt lies between what two numbers?
     Low: $
     High: $

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Expert Solution

orchestra answered 1 year ago
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