17. There is a 70% chance of being stuck in traffic- going west on 1-10. Assumin

Question

17. There is a 70% chance of being stuck in traffic- going west on 1-10. Assuming each day is an independent event, what is the probability that you stuck in traffic two days in a row? a) 100% b) 49% c)9% d)30% 18. You are currently a manager at the airport and the maintenance crew just called you to indicate there are issues with the plane for flight CV432 and there would be a fight delay. Based on your experience the delay can be short or long, and in 80% of the cases the delay is short. A few minutes later the maintenance crew informs you the delay is due to engine issues. In the past, 65% of the long delays were due to engine issues, while 10% of the short delays were due to engine issues. What is the probability of delays due to engine issues? a) 13% b) 65% c) 21% d)8% 19. What is the revised probability of a short delay? a) 26.4% b) 46.6% c) 38.1% d) 15.6% 20. Your friend is graduating this semester and has had two job interviews. Based on these interviews she estimates there is a 70% chance she will get the job at Amazon, and 60% chance she will get the job at Google. What is the probability that she will get both job offers? a) 12% b) 28% c)60% d) 42% 21. What is the probability that she will get no job offers? a) 42% b) 60% c) 28% d) 12%

Explanation / Answer

17) P(stuck in traffic for 2 days in a row) =0.7*0.7 =0.49

option B

18)

P(delay due to engine issue)=0.8*0.1+0.2*0.65=0.21

option C

19)

P(short delay|delay due to engine failure)=0.8*0.1/0.21=0.381

option C

20)

P(get both jbs)=0.7*0.6=0.42

option d

21) P(no jobs) =1-P(at least one job) =1-(0.7+0.6-0.7*0.6)=0.12

option D

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