1. In a small city, approximately 14% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year.

(a)What is the probability that a particular eligible person in this city is selected in both of the next 2 years?

B. What is the probability that a particular eligible person in this city is selected in all three of the next 3 years?

2. A man takes either a bus or the subway to work with probabilities 0.2 and 0.8, respectively. When he takes the bus, he is late 20% of the days. When he takes the subway, he is late 10% of the days. If the man is late for work on a particular day, what is the probability that he took the bus? (Round your answer to four decimal places.)

A credit card company is studying how frequently young consumers (ages 18-24) use credit and debit cards compared to their older counterparts (ages 25 and up). Some findings from their study are below:

• It has been determined that 18% of the card-holding population is 18 to 24 years old.
• The probability that a consumer used a debit card when making a purchase is 0.25.
• Given that the consumer uses a debit card, there is a 0.15 probability that the consumer is 18 to 24 years old.

(You may assume that debit and credit cards are only issued to consumers 18 years or older and that each customer has only one type of card.)

(a)Fill in the missing blanks in the table.

	Age 18-24	Age 25+	Total
Debit
Credit
Total

(b) What is the probability that a consumer uses a credit card given that they are 18-24 years old? (Give your answer to 4 decimals.)

(c) What is the probability that a consumer uses a credit card given that they are 25 years old or older? (Give your answer to 4 decimals.)