To find the probability that a bus chosen at random has a working radio given that it is ready for service, we use the formula for conditional probability:
P(working radio | ready for service) = P(working radio and ready for service) / P(ready for service)
P(working radio | ready for service) = 0.59 / 0.76 ≈ 0.7763
Rounded to the nearest tenth of a percent, the probability that a bus chosen at random has a working radio given that it is ready for service is approximately 77.6%.
The probability that a city bus is ready for service when needed is 76%. The probability that a city bus is ready for service and has a working radio is 59%. Find the probability that a bus chosen at random has a working radio given that is is ready for service. Round to the nearest tenth of a percent
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