a. At LUG, 30% of students are majoring in Business. i. In a sample of 10 LUG students, what is the probability that exactly three of them are majoring in Business? ii. In a sample of 10 students, what is the probability that at least three students are majoring in Business?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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a. At LUG, 30% of students are majoring
in Business.
i. In a sample of 10 LUG students, what is
the probability that exactly three of them
are majoring in Business?
ii. In a sample of 10 students, what is the
probability that at least three students
are majoring in Business?
b. A warehouse distributor of carpet
keeps 6,000 yards of deluxe shag carpet
in stock during a month. The average
demand for carpet from the stores that
purchase from the distributor is 4,500
yards per month, with a standard
deviation of 900 yards.
What is the probability that a customer's
order will not be met during a month?
Assume carpet demand is normally
distributed.
Transcribed Image Text:a. At LUG, 30% of students are majoring in Business. i. In a sample of 10 LUG students, what is the probability that exactly three of them are majoring in Business? ii. In a sample of 10 students, what is the probability that at least three students are majoring in Business? b. A warehouse distributor of carpet keeps 6,000 yards of deluxe shag carpet in stock during a month. The average demand for carpet from the stores that purchase from the distributor is 4,500 yards per month, with a standard deviation of 900 yards. What is the probability that a customer's order will not be met during a month? Assume carpet demand is normally distributed.
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