The university's library has been randomly surveying patrons over the last month to see who is using the library and what services they have been using. Patrons are classified as under- graduate, graduate, or faculty. Services are classified as reference, periodicals, or books. The data for 350 people are given below. Assume a patron uses only one service per visit. Patron Reference Periodicals Вooks Undergraduate 44 26 72 Građuate 24 61 20 Faculty 16 69 18 84 156 110 Find the probability that a randomly chosen patron (a) Is a graduate student. (b) Visited the periodicals section, given the patron is a graduate student. (c) Is a faculty member, given a reference section visit. (d) Is an undergraduate who visited the book section. The southeast regional manager of General Express, a private parcel-delivery firm, is worried about the likelihood of strikes by some of his employees. He has learmed that the probability of a strike by his pilots is 0.75 and the probability of a strike by his drivers is 0.65. Further, he knows that if the drivers strike, there is a 90 percent chance that the pilots will strike in sympathy. (a) What is the probability of both groups' striking? (b) If the pilots strike, what is the probability that the drivers will strike in sympathy? During a study of auto accidents, the Highway Safety Council found that 60 percent of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at night and are alcohol-related. (a) What is the probability that an accident was alcohol-related, given that it occurred at night? (b) What is the probability that an accident occurred at night, given that it was alcohol-related? If a hurricane forms in the eastem half of the Gulf of Mexico, there is a 76 percent chance that it will strike the western coast of Florida. From data gathered over the past 50 years, it has been determined that the probability of a hurricane's occurring in this area in any given year is 0.85. (a) What is the probability that a hurricane will occur in the eastern Gulf of Mexico and strike Florida this year? (b) If a hurricane in the eastern Gulf of Mexico is seeded (induced to rain by addition of chemicals from aireraft), its probability of striking Florida's west coast is reduced by one- fourth. If it is decided to seed any hurricane in the eastem gulf, what is the new value for the probability in part (a)?

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1:20
LIE2 .l 42%
Vo)
40
The university's library has been randomly surveying patrons over the last month to see who
is using the library and what services they have been using. Patrons are classified as under-
graduate, graduate, or faculty. Services are classified as reference, periodicals, or books. The
data for 350 people are given below. Assume a patron uses only one service per visit.
Patron
Reference
Periodicals
Books
Undergraduate
44
26
72
Graduate
24
61
20
Faculty
16
69
18
84
156
110
Find the probability that a randomly chosen patron
(a) Is a graduate student.
(b) Visited the periodicals section, given the patron is a graduate student.
(c) Is a faculty member, given a reference section visit.
(d) Is an undergraduate who visited the book section.
The southeast regional manager of General Express, a private parcel-delivery firm, is worried
about the likelihood of strikes by some of his employees. He has leamed that the probability
of a strike by his pilots is 0.75 and the probability of a strike by his drivers is 0.65. Further,
he knows that if the drivers strike, there is a 90 percent chance that the pilots will strike in
sympathy.
(a) What is the probability of both groups' striking?
(b) If the pilots strike, what is the probability that the drivers will strike in sympathy?
During a study of auto accidents, the Highway Safety Council found that 60 percent of all
accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at night and are
alcohol-related.
(a) what is the probability that an accident was alcohol-related, given that it occurred at
night?
(b) What is the probability that an accident occurred at night, given that it was alcohol-related?
If a hurricane forms in the eastem half of the Gulf of Mexico, there is a 76 percent chance that
it will strike the western coast of Florida. From data gathered over the past 50 years, it has been
determined that the probability of a hurricane's occurring in this area in any given year is 0.85.
(a) What is the probability that a hurricane will occur in the eastern Gulf of Mexico and strike
Florida this year?
(b) If a hurricane in the eastern Gulf of Mexico is seeded (induced to rain by addition of
chemicals from aircraft), its probability of striking Florida's west coast is reduced by one-
fourth. If it is decided to seed any hurricane in the easten gulf, what is the new value for
the probability in part (a)?
-41
+-36
+37
2 of 2
II
||
Transcribed Image Text:1:20 LIE2 .l 42% Vo) 40 The university's library has been randomly surveying patrons over the last month to see who is using the library and what services they have been using. Patrons are classified as under- graduate, graduate, or faculty. Services are classified as reference, periodicals, or books. The data for 350 people are given below. Assume a patron uses only one service per visit. Patron Reference Periodicals Books Undergraduate 44 26 72 Graduate 24 61 20 Faculty 16 69 18 84 156 110 Find the probability that a randomly chosen patron (a) Is a graduate student. (b) Visited the periodicals section, given the patron is a graduate student. (c) Is a faculty member, given a reference section visit. (d) Is an undergraduate who visited the book section. The southeast regional manager of General Express, a private parcel-delivery firm, is worried about the likelihood of strikes by some of his employees. He has leamed that the probability of a strike by his pilots is 0.75 and the probability of a strike by his drivers is 0.65. Further, he knows that if the drivers strike, there is a 90 percent chance that the pilots will strike in sympathy. (a) What is the probability of both groups' striking? (b) If the pilots strike, what is the probability that the drivers will strike in sympathy? During a study of auto accidents, the Highway Safety Council found that 60 percent of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at night and are alcohol-related. (a) what is the probability that an accident was alcohol-related, given that it occurred at night? (b) What is the probability that an accident occurred at night, given that it was alcohol-related? If a hurricane forms in the eastem half of the Gulf of Mexico, there is a 76 percent chance that it will strike the western coast of Florida. From data gathered over the past 50 years, it has been determined that the probability of a hurricane's occurring in this area in any given year is 0.85. (a) What is the probability that a hurricane will occur in the eastern Gulf of Mexico and strike Florida this year? (b) If a hurricane in the eastern Gulf of Mexico is seeded (induced to rain by addition of chemicals from aircraft), its probability of striking Florida's west coast is reduced by one- fourth. If it is decided to seed any hurricane in the easten gulf, what is the new value for the probability in part (a)? -41 +-36 +37 2 of 2 II ||
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