AnswersCARE_24_25_TX-Mathematical Models with Applications BProbability

Probability Answers

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The names of all of the states in the United States are placed in a bag. One name is drawn from the bag. What is the theoretical probability of each event? P(Florida) a. c. b. d. Please select the best answer from the choices provided

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The partially filled contingency table gives the relative frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-6970-79Over 79TotalMale0.190.10.11 Female0.20.10.3 Total 1What is the probability that a resident is male and in the age group 60-79?

A
0.31
B
0.28
C
0.29
D
0.305
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The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a multiple of 3) a. c. b. d. Please select the best answer from the choices provided

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The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a composite number) a. c. b. d. Please select the best answer from the choices provided

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A die is rolled 200 times with the following results.Outcome123456Frequency323644203038What is the experimental probability of rolling the given result?

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The spinner is spun 75 times. What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary. Outcome A B C D Frequency 20 11 14 30 B or C

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0.33
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1
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0.67
D
0.25
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Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results:Politics LiberalModerateConservativeTotalFemale40341488Male485026124Total888440212Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary.

A
0.226
B
0.415
C
0.387
D
0.455
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A die is rolled 200 times with the following results.Outcome123456Frequency323644203038What is the experimental probability of rolling the given result?

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A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. c. b. d. Please select the best answer from the choices provided

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Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results: Politics Liberal Moderate Conservative Total Female 27 34 15 76 Male 39 53 19 111 Total 66 87 34 187 Given that the student is female what is the probability that she considers herself to be a "Liberal"? Round your answer to three decimal places if necessary.

A
0.351
B
0.353
C
0.409
D
0.355
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The spinner above is used in a game. What is the theoretical probability of the given event with one spin? P(a number between 2 and 7) a. c. b. d. Please select the best answer from the choices provided

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The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69 70-79 Over 79 Total Male 15 4 5 Female 5 7 4 Total What is the relative frequency for persons in the age group 60-69 ? a. c. b. d. Please select the best answer from the choices provided

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The spinner is spun 75 times. What is the experimental probability of spinning an "A" ? Round your answer to the nearest hundredth if necessary. Outcome A B C D Frequency 20 11 14 30

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0.73
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0
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0.27
D
0.2
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The names of all of the states in the United States are placed in a bag. One name is drawn from the bag. What is the theoretical probability of each event? P(Florida) a. c. b. d. Please select the best answer from the choices provided

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The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-6970-79Over 79TotalMale195 Female1924 Total What is the probability that a resident is female ? Round your answer to three decimal places if necessary.

A
0.635
B
0.629
C
0.62
D
0.625
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A die is rolled 200 times with the following results.Outcome123456Frequency323644203038What is the experimental probability of rolling the given result?

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A
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B
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C
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A die is rolled 200 times with the following results.Outcome123456Frequency323644203038What is the experimental probability of rolling the given result?

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A
B
B
C
C
D
D
18

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. c. b. d. Please select the best answer from the choices provided

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The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69 70-79 Over 79 Total Male 15 4 5 Female 5 7 4 Total What is the relative frequency for persons in the age group 60-69 ? a. c. b. d. Please select the best answer from the choices provided

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The partially filled contingency table gives the relative frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-6970-79Over 79TotalMale0.190.10.11 Female0.20.10.3 Total 1What is the probability that a resident is male and in the age group 60-79?

A
0.31
B
0.28
C
0.29
D
0.305

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