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 ≈ 0.776
Therefore, the probability that a bus chosen at random has a working radio given that it is ready for service is 77.6%. So the answer is 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. (1 point) Responses 17.0% 17.0% 58.1% 58.1% 79.8% 79.8% 77.6%
1 answer