Question

the service center for a brokerage company provides three functions to callers: account status, order confirmations, and stock quotes. the reliability was measured for each of these services over one month with these results: 94%, 80%, and 99%, respectively. what is the overall reliability of the call center? round your answer to four decimal places.

Explanation:

Step1: Convert percentages to decimals

Convert 94% to 0.94, 80% to 0.80, and 99% to 0.99.

Step2: Multiply the decimals

To find the overall reliability (assuming the services are independent and the overall reliability is the product of the individual reliabilities), we multiply the three decimals: $0.94\times0.80\times0.99$.
First, calculate $0.94\times0.80 = 0.752$.
Then, calculate $0.752\times0.99 = 0.74448$.

Step3: Round to four decimal places

Rounding 0.74448 to four decimal places gives 0.7445.

Answer:

0.7445