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Homework2

# Homework2 - packages fails to stamp the expiration date...

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Homework 2 (due September 13 th ): 8 problems in total Reading assignment: Sections 2.1-2.8 Exercises 2.1 2.16 2.30 2.65 2.116 From a group of 4 men and 5 women, how many committees of size 3 are possible (a) with no restrictions? (b) with 1 man and 2 women? (c) with 2 men and 1 woman if a certain man must be on the committee? 2.84 The probability that an automobile being filled with gasoline will also need an oil change is 0.25; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.14. (a) If the oil had to be changed, what is the probability that a new oil filter is needed? (b) If a new oil filter is needed, what is the probability that the oil has to be changed? 2.105 Please answer two questions. Suppose that four inspectors at a film factory are supposed to stamp the expiration date on each package of film at the end of the assembly line. John, who stamps 20% of the packages, fails to stamp the expiration date once in every 200 packages; Tom, who stamps 60% of the
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Unformatted text preview: packages, fails to stamp the expiration date once in every 100 packages; Jeff, who stamps 15% of the packages, fails to stamp the expiration date once every 90 packages; and Pat, who stamps 5% of the packages, fails to stamp the expiration date once in every 200 packages. (a) What is the probability that a customer complains that the package of film does not show the expiration date? (b) If a customer complains that her package of film does not show the expiration date, what is the probability that it was inspected by John? Question 8 A class has 10 students, who are ordered according to average grades. How many possible orderings are there? (no ties) Note: Assume that we do not know the average grades of each of the ten people in advance, so many orderings are possible. As an example, suppose those ten people can be labeled as A, B, C, D, E, F, G, H, I and J. Then one possible ordering is BCHAJIGFED....
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