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(A | B) = P(A and B) / P(B)
where A is the event that a bus has a working radio and B is the event that a bus is ready for service.
We are given that:
P(A and B) = 59% = 0.59
P(B) = 76% = 0.76
So, the probability that a bus chosen at random has a working radio given that it is ready for service is:
P(A | B) = 0.59 / 0.76 = 0.776
Rounded to the nearest tenth of a percent, this is 77.6%.
Therefore, the correct 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)
77.6%
58.1%
79.8%
17.0%
1 answer