Question Details

Chapter 2 Probability Concepts and Applications

51) If the sale of ice cream and pizza are independent, then as ice cream sales decrease by 60 percent during the winter months, pizza sales will A) increase by 60 percent. B) increase by 40 percent. C) decrease by 60 percent. D) decrease by 40 percent. E) be unrelated. 52) If P(A) = 0.3, P(B) = 0.2, P(A and B) = 0.0, what can be said about events A and B? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 53) Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same. What is the probability that one of the first three golfers that registered for the tournament will win? A) 0.100 B) 0.001 C) 0.300 D) 0.299 E) 0.700 54) Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same. Six of the entrants are female and two of those are older than 40 years old. Three of the men are older than 40 years old. What is the probability that the winner will be either female or older than 40 years old? A) 0.000 B) 1.100 C) 0.198 D) 0.200 E) 0.900 55) Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same. Six of the entrants are female and two of those are older than 40 years old. Three of the men are older than 40 years old. What is the probability that the winner will be a female who is older than 40 years old? A) 0.000 B) 1.100 C) 0.198 D) 0.200 E) 0.900 56) "The probability of event B, given that event A has occurred" is known as a ________ probability. A) continuous B) marginal C) simple D) joint E) conditional 57) When does P(A|B) = P(A)? A) when A and B are mutually exclusive B) when A and B are statistically independent C) when A and B are statistically dependent D) when A and B are collectively exhaustive E) when P(B) = 0 58) A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting two different employee names to "win" the tickets. There are 6 secretaries, 5 consultants and 4 partners in the firm. Which of the following statements is nottrue? A) The probability of a secretary winning a ticket on the first draw is 6/15. B) The probability of a secretary winning a ticket on the second draw given that a consultant won a ticket on the first draw is 6/15. C) The probability of a consultant winning a ticket on the first draw is 1/3. D) The probability of two secretaries winning both tickets is 1/7. E) The probability of a partner winning a ticket on the second draw given that a secretary won a ticket on the first draw is 4/14. 59) A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting two different employee names to "win" the tickets. There are 6 secretaries, 5 consultants, and 4 partners in the firm. Which of the following statements is true? A) The probability of a partner winning on the second draw given that a partner won on the first draw is 3/14. B) The probability of a secretary winning on the second draw given that a secretary won on the first draw is 2/15. C) The probability of a consultant winning on the second draw given that a consultant won on the first draw is 5/14. D) The probability of a partner winning on the second draw given that a secretary won on the first draw is 8/30. E) None of the above are true. 60) A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting two different employee names to "win" the tickets. There are 6 secretaries, 5 consultants, and 4 partners in the firm. Which of the following statements is true? A) The probability of two secretaries winning is the same as the probability of a secretary winning on the second draw given that a consultant won on the first draw. B) The probability of a secretary and a consultant winning is the same as the probability of a secretary and secretary winning. C) The probability of a secretary winning on the second draw given that a consultant won on the first draw is the same as the probability of a consultant winning on the second draw given that a secretary won on the first draw. D) The probability that both tickets will be won by partners is the same as the probability that a consultant and secretary will win. E) None of the above are true. 61) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is either enrolled in accounting or statistics, but not both? A) 0.45 B) 0.50 C) 0.40 D) 0.05 E) None of the above 62) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is enrolled in accounting? A) 0.20 B) 0.25 C) 0.30 D) 0.50 E) None of the above 63) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is enrolled in statistics? A) 0.05 B) 0.20 C) 0.25 D) 0.30 E) None of the above 64) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is enrolled in both statistics and accounting? A) 0.05 B) 0.06 C) 0.20 D) 0.25 E) None of the above 65) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random and found to be enrolled in statistics, what is the probability that the student is also enrolled in accounting? A) 0.05 B) 0.30 C) 0.20 D) 0.25 E) None of the above 66) Suppose that when the temperature is between 35 and 50 degrees, it has historically rained 40% of the time. Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days. You have scheduled a golf tournament for April 12. What is the probability that players will experience rain and a temperature between 35 and 50 degrees? A) 0.333 B) 0.400 C) 0.833 D) 1.000 E) 0.480 67) Suppose that, historically, April has experienced rain and a temperature between 35 and 50 degrees on 20 days. Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days. You have scheduled a golf tournament for April 12. If the temperature is between 35 and 50 degrees on that day, what will be the probability that the players will get wet? A) 0.333 B) 0.667 C) 0.800 D) 1.000 E) 0.556 68) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is enrolled in neither accounting nor statistics? A) 0.45 B) 0.50 C) 0.55 D) 0.05 E) None of the above 69) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is not enrolled in accounting? A) 0.20 B) 0.25 C) 0.30 D) 0.50 E) None of the above 70) At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is not enrolled in statistics? A) 0.05 B) 0.20 C) 0.25 D) 0.80 E) None of the above