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A project conducted by the Metropolis Municipal Office of Road Safety asked peop

ID: 3369529 • Letter: A

Question

A project conducted by the Metropolis Municipal Office of Road Safety asked people many questions about their cars. One question was the reason that a person chooses a given car, and that data is in following table:

Table: Reason for Choosing a Car

Safety

Reliability

Cost

Performance

Comfort

Looks

84

62

46

34

47

27

a. Find the probability that a single randomly-selected respondent chooses a car for safety:

Enter probability as a fraction or as a decimal rounded to nearest thousandth (three places). Examples of correctly entered responses:

3/5 5/11      0.300    0.650 0.971

b. Find the probability that a single randomly-selected respondent chooses a car for cost:

Enter probability as a fraction or as a decimal rounded to nearest thousandth (three places). Examples of correctly entered responses:

3/5 5/11      0.300    0.650 0.971

c. Find the probability that a single randomly-selected respondent chooses a car for comfort:

Enter probability as a fraction or as a decimal rounded to nearest thousandth (three places). Examples of correctly entered responses:

3/5 5/11      0.300    0.650 0.971

d. Find the probability that a single randomly-selected respondent chooses a car for reliability:

Enter probability as a fraction or as a decimal rounded to nearest thousandth (three places). Examples of correctly entered responses:

3/5 5/11      0.300    0.650 0.971

Safety

Reliability

Cost

Performance

Comfort

Looks

84

62

46

34

47

27

Explanation / Answer

Total respondents 84 + 62 +46 +34 +47 +27 = 300
a) The probability that a single randomly-selected respondent chooses a car for safety is
84 / 300 = 0.280

b) The probability that a single randomly-selected respondent chooses a car for cost: is
46 / 300 = 0.153

c) The probability that a single randomly-selected respondent chooses a car for comfort: is 47/300 = 0.157

d) The probability that a single randomly-selected respondent chooses a car for reliability is 62/300= 0.207

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