1. The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability thatthe costwillNOT bekept within budget, and the campaign willNOT increase sales is: a. 0.12 b. 0.32 c. 0.68 d. 0.88 Q2. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. Did alcohol play a role1 Vehicle Involved2 Vehicles Involved3 Vehicles InvolvedTotalsYes5010020170No2517530230Totals7527550400 Referring to the TABLE, what proportion of accidents involved alcohol or a single vehicle? a. 25/400 or 6.25% b. 50/400 or 12.5% c. 195/400 or 48.75% d. 245/400 or 61.25% Q3. If two events (A and B) are equally likelytooccur, andthey are mutually exclusive and collectively exhaustive, what is the probability that event A occurs? a. 0. b. 0.50. c. 1.00. d. Cannot be determined from the information given. Q4. If two events are mutually exclusive and collectively exhaustive, what is the probability that one or the other occurs? a. 0. b. 0.50. c. 1.00. d. Cannot be determined from the information given. Q5. A company has 2 machines that produce widgets. An older machine produces 23% defective widgets, while the new machine produces only 8% defective widgets. In addition, the new machine produces 3 times as many widgets as the older machine does. Given a randomly chosen widget was tested and found to be defective, what is the probability it was produced by the new machine? a. 0.08 b. 0.15 c. 0.489 d. 0.511 Q6. The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept within budget and the campaign will increase sales is: a. 0.20 b. 0.32 c. 0.40 d. 0.88 Q7. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. Did alcohol play a role1 Vehicle Involved2 Vehicles Involved3 Vehicles InvolvedTotalsYes5010020170No2517530230Totals7527550400 Referring to the TABLE, given that multiple vehicles were involved, what proportion of accidents involved alcohol? a. 120/170 or 70.59% b. 120/230 or 52.17% c. 120/325 or 36.92% d. 120/400 or 30% Q8. When using the general multiplication rule, P(A and B) is equal to a. P(A|B)P(B) b. P(A)P(B) c. P(B)/P(A) d. P(A)/P(B) Q9. Another name for the mean of a probability distribution is its expected value. a. true b. false Q10. In a Poisson distribution, the mean and standard deviation are equal. a. true b. false Q11. The number of customers arriving at a department store in a 5-minute period has a Poisson distribution. a. true b. false Q12. In a Poisson distribution, the mean and variance are equal. a. true b. false Q13. Suppose that the number of airplanes arriving at an airport per minute is a Poisson process. The average number of airplanes arriving per minute is 3. The probability that exactly 6 planes arrive in the next minute is approximately 0.0504 assuming e=2.71828. a. true b. false Q14. The diameters of 10 randomly selected bolts have a binomial distribution. a. true b. false Q15. If the outcomes of a random variable follow a Poisson distribution, then their a. mean equals the standard deviation. b. median equals the standard deviation. c. mean equals the variance. d. median equals the variance. Q16. A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet on the ground floor of the campus building, what is the probability that all 4 students selected are undergraduate students? a. 0.0256 b. 0.0625 c. 0.16 d. 1.00 Q17. Theoretically, the mean, median, and the mode are all equal for a normal distribution. a. true b. false Q18. A normal probability plot may be used to assess the assumption of normality for a particular batch of data. a. true b. false Q19. For some positive value ofZ, the probability that a standard normal variable is between 0 andZis 0.3340. The value ofZis a. 0.07 b. 0.37 c. 0.97 d. 1.06 Q20. The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh more than 4.4 pounds is _______? a. 0.0668 b. 0.0245 c. 0.1280 d. 1.2045 Q21. The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one in the top 2% in weight. Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established? a. 1.56 pounds b. 4.84 pounds c. 5.20 pounds d. 7.36 pounds Q22. The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh less than 2.2 pounds is : a. 0.1253 b. 0.1056 c. 0.0124 d. 0.2145 Q23. A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. What proportion of the plan recipients would receive payments beyond age 75? a. .0034 b. 0.2134 c. 1.2543 d. 0.0228 Q24. The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, 89.80% of the catfish will weight above _____ pounds? a. 2.124 pounds b. 1.124 pounds c. 3.124 pounds d. 2.184 pounds Q25. Any set of normally distributed data can be transformed to its standardized form. a. true b. false