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Mathematics, 04.03.2020 02:25 maxB0846

Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic (debit and credit) cards in making purchases (Associated Press, January 16, 2006). The results of the study provided the following probabilities. The probability that a consumer uses a plastic card when making a purchase is .37.Given that the consumer uses a plastic card, there is a .19 probability that the consumer is 18 to 24 years old. Given that the consumer uses a plastic card, there is a .81 probability that the consumer is more than 24 years old. U.S. Census Bureau data show that 14% of the consumer population is 18 to 24 years old. Given the consumer is 18 to 24 years old, what is the probability that the consumer uses a plastic card (to 4 decimals)?Given the consumer is over 24 years old, what is the probability that the consumer uses a plastic card (to 4 decimals)?What is the interpretation of the probabilities shown in parts (a) and (b)?SelectThere is a higher probability that the younger consumer, age 18 to 24, will use plastic when making a purchaseThere is a higher probability that the older consumer, age 25 and above, will use plastic when making a purchaseThere is roughly the same probability that either age group will use plastic when making a purchaseItem 3Assuming that credit card companies want their cards to be available to consumers who are likely to use them, should companies such as Visa, MasterCard, and Discover make plastic cards available to the 18 and 24 year old age group before these consumers have had time to establish a credit history?SelectYesNoCannot be determined from the above dataItem 4

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