Three businesses in a suburb responded to a questionnaire asking how many people
ID: 3366059 • Letter: T
Question
Three businesses in a suburb responded to a questionnaire asking how many people paid for their purchases last month using cash, credit cards, and debit cards. A customer who makes a purchase is selected randomly from the sample summarized in the table. Use this information to answer the first 9 questions.
Round your final answers to the nearest thousandth.
Payment Method
Beth’s Coffee House
Michael’s PC Repair and Sales
John’s Medical Supply
Total
Cash
304
140
23
467
Debit Card
456
166
219
841
Credit Card
380
257
102
739
Total
1140
563
344
2047
5. Find the probability that the customer used cash or shopped at John’s Medical Supply
6. Find the probability that the customer used cash knowing that they shopped at John’s Medical Supply.
7. Find the probability that the customer shopped at John’s Medical Supply knowing that they used cash.
Payment Method
Beth’s Coffee House
Michael’s PC Repair and Sales
John’s Medical Supply
Total
Cash
304
140
23
467
Debit Card
456
166
219
841
Credit Card
380
257
102
739
Total
1140
563
344
2047
Explanation / Answer
5. P(Used Cash or Shopped at John's Medical Supply)
= 467/2047 + 344/2047 - 23/2047
= 788/2047
= 0.385
6. P(Cash| John's Medical Supply) = 23/344 = 0.067
7. P(John's medical supply| Cash) = 23/467 = 0.049
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