n USE SALT Assuming that intakes at different meals are independent of one another, what is the probability that average calorie intake per day over the next (365-day) year is at most 3800? (Hint: Let X, Y, and Z, denot the three calorie intakes on day i. Then total intake is given by (X, + Y, + Z). Round your answer to four decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that for a certain individual, calorie intake at breakfast is a random variable with expected value 600 and standard deviation 60, calorie intake at lunch is random with expected value 900 and standard
deviation 110, and calorie intake at dinner is a random variable with expected value 2100 and standard deviation 180.
In USE SALT
Assuming that intakes at different meals are independent of one another, what is the probability that average calorie intake per day over the next (365-day) year is at most 3800? (Hint: Let X;, Y, and Z; denote
the three calorie intakes on day i. Then total intake is given by (X; + Y; + Z;). Round your answer to four decimal places.)
Transcribed Image Text:Suppose that for a certain individual, calorie intake at breakfast is a random variable with expected value 600 and standard deviation 60, calorie intake at lunch is random with expected value 900 and standard deviation 110, and calorie intake at dinner is a random variable with expected value 2100 and standard deviation 180. In USE SALT Assuming that intakes at different meals are independent of one another, what is the probability that average calorie intake per day over the next (365-day) year is at most 3800? (Hint: Let X;, Y, and Z; denote the three calorie intakes on day i. Then total intake is given by (X; + Y; + Z;). Round your answer to four decimal places.)
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