Title Bản sao của Mid SB.docx ✅

Multiple Choice Questions   40. Events A and B are mutually exclusive when:    A.  their joint probability is zero. B.  they are independent events. C.  P(A)P(B) = 0 D.  P(A)P(B) = P(A | B) Review definition of mutually exclusive.   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Understand Difficulty: 2 Medium Learning Objective: 05-03 Apply the definitions and rules of probability. Topic: Rules of Probability   41. If two events are complementary, then we know that:    A.  the sum of their probabilities is one. B.  the joint probability of the two events is one. C.  their intersection has a nonzero probability. D.  they are independent events. Review definition of complementary events.   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Remember Difficulty: 2 Medium Learning Objective: 05-03 Apply the definitions and rules of probability. Topic: Rules of Probability   42. Regarding probability, which of the following is correct?    A.  When events A and B are mutually exclusive, then P(A∩B) = P(A) + P(B). B.  The union of events A and B consists of all outcomes in the sample space that are contained in both event A and event B. C.  When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events. D.  The probability of the union of two events can exceed one.
Review the rules of probability.   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Remember Difficulty: 2 Medium Learning Objective: 05-05 Determine when events are independent. Topic: Independent Events   43. Independent events A and B would be consistent with which of the following statements:    A.  P(A) = .3, P(B) = .5, P(A∩B) = .4. B.  P(A) = .4, P(B) = .5, P(A∩B) = .2. C.  P(A) = .5, P(B) = .4, P(A∩B) = .3. D.  P(A) = .4, P(B) = .3, P(A∩B) = .5. For independence, the product P(A)P(B) must equal P(A∩B).   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Apply Difficulty: 1 Easy Learning Objective: 05-05 Determine when events are independent. Topic: Independent Events   44. Find the probability that either event A or B occurs if the chance of A occurring is .5, the chance of B occurring is .3, and events A and B are independent.    A.  .80 B.  .15 C.  .65 D.  .85 Given that the events are independent, the product P(A)P(B) must equal P(A∩B). Thus, P(A or B) = P(A) + P(B) - P(A∩B) = .50 + .30 - (.50)(.30) = .80 - .15 = .65 using the General Law of Addition.   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Apply Difficulty: 2 Medium Learning Objective: 05-05 Determine when events are independent. Topic: Independent Events   45. Regarding the rules of probability, which of the following statements is correct?    A.  If A and B are independent events, then P(B) = P(A)P(B).
B.  The sum of two mutually exclusive events is one. C.  The probability of A and its complement will sum to one. D.  If event A occurs, then its complement will also occur. Review the rules of probabilities.   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Remember Difficulty: 2 Medium Learning Objective: 05-03 Apply the definitions and rules of probability. Topic: Rules of Probability   46. Within a given population, 22 percent of the people are smokers, 57 percent of the people are males, and 12 percent are males who smoke. If a person is chosen at random from the population, what is the probability that the selected person is either a male or a smoker?    A.  .67 B.  .79 C.  .22 D.  .43 Use the General Law of Addition P(A or B) = P(A) + P(B) - P(A∩B).   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Apply Difficulty: 2 Medium Learning Objective: 05-03 Apply the definitions and rules of probability. Topic: Rules of Probability   47. Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.    A.  .79 B.  .82 C.  .65 D.  .50 Use the General Law of Addition P(A or B) = P(A) + P(B) - P(A∩B).   AACSB: Analytical Thinking Accessibility: Keyboard Navigation Blooms: Apply
Difficulty: 3 Hard Learning Objective: 05-03 Apply the definitions and rules of probability. Topic: Rules of Probability   48. Given the contingency table shown here, find P(V).       A.  .20 B.  .40 C.  .50 D.  .80 This is a marginal probability P(V) = 40/200 = .20.   AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium Learning Objective: 05-06 Apply the concepts of probability to contingency tables. Topic: Contingency Tables   49. Given the contingency table shown here, find P(V | W).       A.  .4000 B.  .0950 C.  .2375 D.  .5875 This is a conditional probability P(V|W) = 19/80.   AACSB: Analytical Thinking Blooms: Apply Difficulty: 2 Medium