251hwkadd 11/11/04 (Open this document in 'Outline' view!)
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251hwkadd 11/11/04 (Open this document in 'Outline' view!)PROBLEMS THAT APPEAR IN THE 9TH EDITION BUT NOT THE 8TH (OR VICE VERSA). Exercise 4.8 (Abbreviated): We have defect data for 450 semiconductor wafers, some of which were made from dies with particles on them. The table reads:
a. Give an example of a simple eventb. Give an example of a joint eventc. What is the complement of a good wafer?d. Why is ‘good wafer’ and a die ‘with particles’ a joint event?If a wafer is selected at random, what is the probability that:e. It was produced from a die with no particles?f. The wafer is bad?g. The wafer is bad and it was produced from a die with no particles?h. The wafer is good and it was produced from a die with no particles?i. The wafer is good or it was produced from a die with no particles?j. The wafer is bad or it was produced from a die with particles?k. Explain the difference between the results in (h) and (i).Exercise 4.9 (Abbreviated): A contingency table shows whether travel managers research orbook tickets on the internet.The table reads:
a. Give an example of a simple eventb. Give an example of a joint eventc. What is the complement of “researches airline prices on the Internet”?d. Why is “researches airline prices on the Internet” and “books airline tickets on the Internet” a joint event?If a corporate travel manager is selected at random, what is the probability that he or she:e. Researches airline prices on the Internet?f. Books airline tickets on the Internet?g. Researches airline prices on the Internet and books airline tickets on the Internet ?h. Does not research airline prices on the Internet and does not book airline tickets on the Internet ?i. Researches airline prices on the Internet or books airline tickets on the Internet ?j. Does not research airline prices on the Internet or books airline tickets on the Internet ?k. Explain the difference between the results in (g) and (i).Exercise 4.14d (Would be 4.13d in 8th edition): Are the events  and  statistically independent?
Exercise 4.19: Repeat the table in 4.8. The table reads:
a. Suppose that you know a wafer is bad. What is the probability that it was produced from a die that had particles? b. Suppose that you know a wafer is good. What is the probability that it was produced from a die that had particles? c. Are the events ‘a wafer is good’ and ‘a die has no particles statistically independent? Explain.
The table reads:
a. Given that a corporate travel manager researched airline ticket prices on the internet, what is the probability that he or she booked airline tickets on the internet? b. Given that a corporate travel manager booked airline ticket prices on the internet, what is the probability that he or she researched airline tickets on the internet? c. Explain the difference in the results in (a) and (b). d. Are the two events ‘researched airline tickets on the internet’ and ‘booked airline tickets on the internet’ independent? Explain. Exercise 4.22: Of 56 white workers terminated, 29 claimed bias. Of 407 black workers terminated, 126 claimed bias. a. Given that the worker is white, what is the probability that the worker claimed bias? b. Given that the worker has claimed bias, what is the probability that the worker is white? c. Explain the difference in the results in (a) and (b). d. Are the two events ‘being white’ and ‘claiming bias’ statistically independent? Explain. Exercise 4.65: In 1997, 24.0% of all highway fatalities involved a rollover. 15.8% of all accidents involving a rollover involved SUVs, vans and pickups. Given that a rollover was not involved, 5.6% of fatalities involved SUVs, vans and pickups. Define the following events:
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