Parking for students at Central High School is very limited, andthose who arrive
ID: 3093877 • Letter: P
Question
Parking for students at Central High School is very limited, andthose who arrive late have to park illegally and risk getting aticket. Joey has determined that the probability that he has topark illegally and that he gets a parking ticket is .07. Herecorded data last year and found that because of his perpetualtardiness, the probability that he will have to park illegally is.25. Suppose that Joey arrived late once again this morning and hadto park in a no parking zone. Can you find the probability thatJoey will get a parking ticket? If so, do it. If you needadditional information to find the probability, you must explainexactly what is needed.Can anyone help me with this problem? I don't understand how tosolve it or if I can solve it. Thanks
Explanation / Answer
The problem states that the probability of of 'A' and 'B' happeningis 'C' .07 where 'A' is the probability of parking illegally and'B' is the probability of getting a ticket. The probability that hewill have to park illegally (A) is .25 So you need to find 'B' A*B=C A = .25 B = B C = .07 B= C/A B= .07.25 = 0.28 This is the probability of getting a ticket giventhat you indeed have to park illegally. P(AB) = .07 Prob of Aand B P(A) = .25 Prob A Prob B given A P(B|A) = P(AB)/ P(A) = .07/.25 = 0.28