Question

Customers at a gas station pay with a credit card (a), debit card (b), or cash (c). Assume that successive customers make independent choices with p(a) = 0.5, p(b) = 0.3, and p(c) = 0.2. What is the probability that the next customer will pay with a debit card?

1) 0.5
2) 0.3
3) 0.2

Answer 1

The probability that the next customer at a gas station will pay with a debit card is 0.3 or 30%.

Step-by-step explanation:

The probability that the next customer at a gas station will pay with a debit card, given that there are three choices of payment methods - credit card, debit card, or cash - is already provided as part of the question. According to the provided data, the probabilities are:

• p(a) = 0.5 for paying with a credit card
• p(b) = 0.3 for paying with a debit card
• p(c) = 0.2 for paying with cash

Therefore, the probability that the next customer will pay with a debit card is 0.3 or 30%.