Homework2_solution

# Homework2_solution - each package of film at the end of the...

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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 2. 84 2.105 Question 8 A class has 10 students, who are ordered according to average grades. How many possible orderings are there? (no ties) 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?

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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
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Unformatted text preview: 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 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) 10! 3628800 =...
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## This note was uploaded on 01/19/2012 for the course IEN 311 taught by Professor Qiu during the Spring '11 term at University of Miami.

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Homework2_solution - each package of film at the end of the...

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