Risky drivers: An automobile insurance company divides customers into three categories: good risks, medium risks, and poor risks. Assume that of a total of 11,157 customers, 7783 are good risks, 2434 are medium risks, and 940 are poor risks. As part of an audit, one customer is chosen at random. Round your answers to four decimal places if necessary.
Part: $0 / 2$
Part 1 of 2
(a) What is the probability that the customer is a good risk?
The probability that the customer is a good risk is
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Answer
Final Answer: The probability that the customer is a good risk is approximately \(\boxed{0.6976}\).
Step 1 ：An automobile insurance company divides customers into three categories: good risks, medium risks, and poor risks. It is given that out of a total of 11,157 customers, 7783 are good risks, 2434 are medium risks, and 940 are poor risks. As part of an audit, one customer is chosen at random.
Step 2 ：The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is 'the customer is a good risk' and the total number of outcomes is the total number of customers.
Step 3 ：So, we need to divide the number of good risk customers by the total number of customers. The calculation is as follows: \(\frac{7783}{11157} \approx 0.697588957605091\)
Step 4 ：Final Answer: The probability that the customer is a good risk is approximately \(\boxed{0.6976}\).
