The two-way table summarizes the responses of 120 people to a survey in which th

Carol Gates

Carol Gates

Answered question

2021-10-19

The two-way table summarizes the responses of 120 people to a survey in which they were asked, "Do you exercise for at least 30 minutes four or more times per week?" and "What kind of vehicle do you drive?''

Car typeSedanSUVTruckExerciseYes251512No202424

Suppose one person from this sample is randomly selected. Find the probability that the person drives an SUV.

Answer & Explanation

l1koV

l1koV

Skilled2021-10-20Added 100 answers

Step 1
SedanSUVTruckExercise251512No exercise202424
Determine the row and column totals, which is the sum of all counts in the row/column:
SedanSUVTruckTotalExercise25151225+15+12=52No exercise20242420+24+24=68Total25+20=4515+24=3912+24=3652+68=120
The table contains 120 people in total (which is given in the bottom right corner of the table), while 39 of the 120 people drive an SUV (since 39 is mentioned in the row ''Total'' and in the column ''SUV'' of the given table).
The probability is the number of favorable outcomes divided by the number of possible outcomes:

P(SUV)=#of favorable outcomes#of possible outcomes=39120=1340=0.325=32.5%

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?