Dec 14, 2016
 Provide an appropriate response.
 1. Probabilities are useful in the decisionmaking process. Suppose a random sample of 152 students was surveyed regarding an instructor’s teaching. Suppose 105 students rated the instructor either excellent or above average on lecture presentations, 96 students rated the instructor as giving difficult or very difficult assignments and tests. Would you take this instructor for a class? Discuss the influence of probabilities on making this decision.
Possible answer  2. Give an example of events which are independent but not mutually exclusive.
Possible answer  3. Suppose a student is taking a 5response multiple choice exam; that is, the choices are A, B, C, D, and E, with only one of the responses correct. Describe the complement method for determining the probability of getting at least one of the questions correct on the 15question exam. Why would the complement method be the method of choice for this problem?
Possible answer
 1. Probabilities are useful in the decisionmaking process. Suppose a random sample of 152 students was surveyed regarding an instructor’s teaching. Suppose 105 students rated the instructor either excellent or above average on lecture presentations, 96 students rated the instructor as giving difficult or very difficult assignments and tests. Would you take this instructor for a class? Discuss the influence of probabilities on making this decision.
 Express the indicated degree of likelihood as a probability value.
 4. “It will definitely turn dark tonight.”
 0.67
 0.30
 0.5
 1
 4. “It will definitely turn dark tonight.”
 Answer the question.
 5. Which of the following cannot be a probability?
 1
 0
 –1
 ½
 5. Which of the following cannot be a probability?
 Find the indicated probability.
 6. A class consists of 13 women and 49 men. If a student is randomly selected, what is the probability that the student is a woman?
 ^{1}/_{62}
 ^{13}/_{62}
 ^{13}/_{49}
 ^{49}/_{62}
 6. A class consists of 13 women and 49 men. If a student is randomly selected, what is the probability that the student is a woman?
 Answer the question, considering an event to be “unusual” if its probability is less than or equal to 0.05.
 7. Assume that a study of 500 randomly selected schools bus routes showed that 483 arrived on time. Is it “unusual” for a school bus to arrive late?
 No
 Yes
 8. A polling firm, hired to estimate the likelihood of the passage of an upcoming referendum, obtained the set of survey responses to make its estimate. The encoding system for the data is: 0 = FOR, 1 = AGAINST. If the referendum were held today, estimate the probability that it would pass.
0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0 0.6
 0.5
 0.4
 0.65
 7. Assume that a study of 500 randomly selected schools bus routes showed that 483 arrived on time. Is it “unusual” for a school bus to arrive late?
 Answer the question.
 9. In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly form the town, what are the odds against selecting someone who commutes by bicycle?
 1 : 3
 1 : 4
 3 : 1
 3 : 4
 9. In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly form the town, what are the odds against selecting someone who commutes by bicycle?
 Find the indicated probability.
 10. Based on meteorological records, the probability that it will snow in a certain town on January 1^{st} is 0.230. Find the probability that in a given year it will not snow on January 1^{st} in that town.
 4.348
 1.230
 0.770
 0.299
 11. Of the 57 people who answered “yes” to a question, 8 were male. Of the 61 people that answered “no” to the question, 5 were male. If one person is selected at random from the group, what is the probability that the person answered “yes” or was male?
 0.525
 0.14
 0.11
 0.593

If one of the 996 people is randomly selected, find the probability of getting a regular or heavy smoker. 0.442
 0.216
 0.095
 0.146
 13. In one town, 76% of adults have health insurance. What is the probability that 8 adult selected at random from the town all have health insurance?
 6.08
 0.76
 0.111
 0.105
 14. A IRS auditor randomly selects 3 tax returns from 58 returns of which 8 contain errors. What is the probability that she selects none of those containing errors?
 0.6407
 0.0026
 0.0018
 0.6352
 15. A sample of 4 different calculators is randomly selected from a group containing 17 that are defective and 36 that have ne defects. What is the probability that at least one of the calculators is defective?
 0.799
 0.787
 0.170
 0.201
 16. The table below describes the smoking habits of a group of asthma sufferers.
If one of the 930 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth. 0.399
 0.688
 0.505
 0.343
 10. Based on meteorological records, the probability that it will snow in a certain town on January 1^{st} is 0.230. Find the probability that in a given year it will not snow on January 1^{st} in that town.
 Solve the problem.
 17. Swinging Sammy Skor’s batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let 1 = HIT and 2 = OUT. The output from the simulation was as follows.
1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 1 2 2 1 2 1 2 2 2 2 2 2 1 1 1 2
Estimate the probability that he makes an out. 0.667
 0.621
 0.810
 0.782
 18. The library is to be given 8 books as a gift. The books will be selected from a list of 20 titles. If each book selected must have a different title, how many possible selections are there?
 125,970
 6.033983155e+13
 5.0791104e+09
 2.432902008e+18
 19. A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
 120
 24
 16
 4
 20. A tourist in France wants to visit 10 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?
 ^{1}/_{10}
 3,628,800
 ^{1}/ _{3,628,800}
 ^{1}/_{100}
 17. Swinging Sammy Skor’s batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let 1 = HIT and 2 = OUT. The output from the simulation was as follows.
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