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Question : A poll is conducted in a U S city to determine voting preferences prior : 2151656

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.

1) A survey revealed that 36% of people are entertained by reading books, 32% are entertained by watching TV, and 13% are entertained by both books and TV. What is the probability that a person will be entertained by either books or TV? Express the answer as a percentage.

A) 13%

B) 81%

C) 55%

D) 68%

2) A poll is conducted in a U.S. city to determine voting preferences prior to a presidential election.

The following probabilities were obtained from the relative frequencies:

P(D) = 0.51, P(M∩D) = 0.22, P(M∪D) = 0.77

where M represents male and D represents a person who plans to vote Democrat.

Find P(M∩D').

A) 0.78

B) 0.49

C) 0.26

D) 0.71

3) A poll is conducted in a U.S. city to determine voting preferences prior to a presidential election.

The following probabilities were obtained from the relative frequencies:

P(D) = 0.51, P(M∩D) = 0.22, P(M∪D) = 0.77

where M represents male and D represents a person who plans to vote Democrat.

Find P(M'∪D).

A) 0.49

B) 0.52

C) 0.29

D) 0.74

4) Of the coffee makers sold in an appliance store, 4.0% have either a faulty switch or a defective cord, 1.3% have a faulty switch, and 0.9% have both defects. What is the probability that a coffee maker will have a defective cord? Express the answer as a percentage.

A) 4.0%

B) 2.2%

C) 3.6%

D) 4.9%

5) Among 170 households surveyed, 43 have a video camera, 45 have a snapshot camera, 47 have binoculars, 6 have a video camera and a snapshot camera, 9 have a snapshot camera and binoculars, and 2 have all three products. What is the probability that a household will have a snapshot camera or binoculars? Express the answer as a fraction.

A) (83/170)

B) (44/85)

C) (79/170)

D) (46/85)

6) A survey of senior citizens at a doctor's office shows that 51% take blood pressure-lowering medication, 48% take cholesterol-lowering medication, and 1% take both medications. What is the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication? Express the answer as a percentage

A) 4%

B) 0%

C) 100%

D) 98%

7) For a school project, Sue interviewed a total of 100 persons who were either lawyers or salesmen. She asked them if they were happy or unhappy with their occupation. Of the 63 lawyers interviewed, 10 were unhappy, however, only 9 of the salesmen were unhappy. Suppose that one of the persons interviewed is selected at random. Find the probability that the person selected is a salesman.

A) 0.44

B) 0.33

C) 0.29

D) 0.37

8) For a school project, Sue interviewed a total of 100 persons who were either lawyers or salesmen. She asked them if they were happy or unhappy with their occupation. Of the 63 lawyers interviewed, 10 were unhappy, however, only 5 of the salesmen were unhappy. Suppose that one of the persons interviewed is selected at random. Find the probability that the person selected is happy.

A) 0.85

B) 0.92

C) 0.82

D) 0.88

9) A study of consumer smoking habits includes 162 people in the 18-22 age bracket (45 of whom smoke), 143 people in the 23-30 age bracket (33 of whom smoke), and 86 people in the 31-40 age bracket (23 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 18-22 or does not smoke.

A) 0.299

B) 0.722

C) 0.857

D) 1.156

10) 100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.

1. Public transportation: 8 full time, 10 part time

2. Bicycle: 4 full time, 5 part time

3. Drive alone: 25 full time, 34 part time

4. Carpool: 6 full time, 8 part time

A) 0.24

B) 0.49

C) 0.51

D) 0.57

11) The table below shows the probabilities of a person accumulating specific amounts of credit card charges over a 12-month period. Find the probability that a person's total charges during the period are $500 or more.

A) 0.95

B) 0.05

C) 0.22

D) 0.78

12) The table below shows the probabilities of a person accumulating specific amounts of credit card charges over a 12-month period. Find the probability that a person's total charges during the period are less than $400.

A) 0.48

B) 0.81

C) 0.95

D) 0.33

13) Below is a table of data from a survey given to 1600 teenagers asking them to estimate what percentage of their classmates are using drugs. If a girl is selected at random, find the probability that her estimate of the percentage using drugs is 50% or higher. Round to the nearest hundredth.

A) 0.10

B) 0.09

C) 0.21

D) 0.17

14) Below is a table of data from a high school survey given to 500 parents. Find the probability that a randomly chosen parent would agree or strongly agree that the school is clean. Round to the nearest hundredth.

A) 176

B) 0.36

C) 0.44

D) 0.35

15) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The table below summarizes the results.

If we randomly select one of the times represented in the table, what is the probability that it is at least 12 minutes or between 8 and 15 minutes? Round to the nearest thousandth when necessary.

A) 0.593

B) 0.7

C) 0.741

D) 0.148

16) The age distribution of students at a community college is given below.

__Age (years) Number of students (f)__

1106

A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round to the nearest thousandth.

A) 262

B) 0.052

C) 0.184

D) 0.237

17) The age distribution of students at a community college is given below.

__Age (years) Number of students (f)__

1131

A student from the community college is selected at random. Find the probability that the student is at least 31. Round to the nearest thousandth.

A) 0.050

B) 0.926

C) 0.074

D) 84

18) The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1059 people is randomly selected, find the probability that the person is a man or a heavy smoker. Round to the nearest thousandth.

A) 0.511

B) 0.600

C) 0.555

D) 0.500

19) The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1110 people is randomly selected, find the probability of getting a regular or heavy smoker. Round to the nearest thousandth.

A) 0.101

B) 0.509

C) 0.114

D) 0.198

Solve the problem, rounding the answer as appropriate. Assume that "pure dominant" describes one who has two dominant genes for a given trait; "pure recessive" describes one who has two recessive genes for a given trait; and "hybrid" describes one who has one of each.

20) Suppose a hybrid mates with a pure dominant. If they produce two offspring, what is the probability that neither is a hybrid?

A) 0.125

B) 0.25

C) 0.50

D) 0.75

21) Two hybrids produce a litter of four offspring. What is the probability that none of the four is pure recessive?

A) 0.316

B) 0.0625

C) 0.75

D) 0.004

22) Two hybrids produce a litter of four offspring. What is the probability that only the first one is pure recessive?

A) 0.004

B) 0.225

C) 0.422

D) 0.105

23) Two hybrids produce a litter of four offspring. What is the probability that exactly one is pure recessive?

A) 0.25

B) 0.133

C) 0.211

D) 0.422

24) In a population, 70% of females are pure dominant, 20% are hybrid, and 10% are pure recessive. If a pure recessive male mates with a random female and their first offspring has the dominant trait, what is the probability that the female is pure dominant?

A) 0.47

B) 0.78

C) 0.70

D) 0.75

25) In a population, 50% of the females are pure dominant, 40% are hybrid, and 10% are pure recessive. If a pure recessive male mates with a random female and their first offspring has the dominant trait, what is the probability that the female is hybrid?

A) 0.40

B) 0.13

C) 0.44

D) 0.25

Solve the problem.

26) The odds in favor of a horse winning a race are posted as 4 : 3. Find the probability that the horse will win the race.

A) (1/2)

B) (3/4)

C) (4/7)

D) (3/7)

27) The odds in favor of a horse winning a race are posted as 4 : 3. Find the probability that the horse will lose the race.

A) (1/3)

B) (3/4)

C) (4/7)

D) (3/7)

28) The odds in favor of Carl beating his friend in a round of golf are 9 : 2 Find the probability that Carl will beat his friend.

A) (3/4)

B) (2/9)

C) (9/11)

D) (2/11)

29) The odds in favor of Carl beating his friend in a round of golf are 7 : 3. Find the probability that Carl will lose.

A) (1/4)

B) (7/10)

C) (3/7)

D) (3/10)

30) The odds against Carl beating his friend in a round of golf are 8 : 7. Find the probability that Carl will beat his friend.

A) (7/15)

B) (8/15)

C) (7/16)

D) (7/8)

31) The odds against Carl beating his friend in a round of golf are 9 : 5. Find the probability that Carl will lose.

A) (9/14)

B) (5/9)

C) (3/5)

D) (5/14)

32) The odds in favor of Jerome beating his friend in a round of golf are 1 : 2. Find the probability that Jerome will beat his friend.

A)

B) (1/3)

C) (1/4)

D) 1

33) The odds in favor of Trudy beating her friend in a round of golf are 1 : 8. Find the probability that Trudy will lose.

A) (1/11)

B) (4/5)

C) (8/9)

D) (1/9)

34) The odds in favor of winning a particular lottery are 1 to 2,800,000. Find the probability of winning.

A) (1/2,800,000)

B) (2,800,000/2,800,001)

C) (1/2,799,999)

D) (1/2,800,001)

35) The odds in favor of becoming the President are 1 to 5,100,000. Find the probability of becoming President.

A) (1/5,099,999)

B) (1/5,100,000)

C) (1/5,100,001)

D) (5,099,999/5,100,000)