Question

Expected ValveMar 08, 12:56:29 PMJacob owns a small business selling bagels. He knows that in the last week 65customers paid cash, 26 customers used a debit card, and 8 customers used a creditacard.If next week, he is expecting 600 customers, about how many would you expect topay with a credit card? Round your answer to the nearest whole number.Answer:Submit Answerattempt 2 out of 2

Answer 1

From the question given, we have the following information;

`\begin{gathered} \text{Cash customers}=65 \\ \text{Debit card customers}=26 \\ \text{Credit card customers}=8 \end{gathered}`

In order to determine the probability that the next customer would be a credit card customer, we shall calculate as follows;

`P\lbrack E\rbrack=\frac{\text{Number of required outcomes}}{Number\text{ of all possible outcomes}}`

Using the details we are given, the probability that the next customer would be using a credit card would be;

`\begin{gathered} P\lbrack\text{credit card}\rbrack=(8)/(65+26+8) \\ P\lbrack\text{credit card}\rbrack=(8)/(99) \end{gathered}`

Next, we are told that next week, 600 customers are expected. Therefore, the number that is expected to pay with a credit card would be;

`\begin{gathered} \text{Expected value}=(8)/(99)*600 \\ \text{Expected value}=48.4848\ldots \\ \text{Rounded to the nearest whole number;} \\ \text{Expected value}=48 \end{gathered}`

ANSWER:

About 48 customers would be expected to pay with a credit card