Probability.
The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent.
2007-05-17 14:07:12 · 5 answers · asked by Lemonada 3 in Science & Mathematics ➔ Mathematics
P(is ready for service)=.84
P(is ready for service and has a working radio)=.67
P(has a working radio|is ready for service)
=P(is ready for service and has a working radio)/P(is ready for service)=.67/.84=.798=79.8%
2007-05-17 14:17:15 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Lemonada- I'm sure you have a calculator hiding somewhere. You can do the rounding pretties yourself.
Again, this is a Bayesian problem, so you use only the applicable data. In this case p(radio|ready)
= 67/84th
2007-05-17 21:12:24 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋
84% X 67% = 56.3% that it will have a working radio and is ready for service. =]
2007-05-17 21:10:46 · answer #3 · answered by elitedude0 2 · 1⤊ 0⤋
Pready = 0.84
Pready * Pradio = 0.67 (joint probability)
Pradio = 0.67/0.84 = 0.798
2007-05-17 21:19:44 · answer #4 · answered by hanggdog 3 · 0⤊ 0⤋
56.28%
2007-05-17 21:15:05 · answer #5 · answered by tochau 5 · 0⤊ 0⤋