Public Transit. You commute to arid from school. You have the option to either (

Question

Public Transit. You commute to arid from school. You have the option to either (A) take one bus and then transfer to a second bus, or (B) take the SkyTrain partway and then ride the bus for the rest of the commute. There are two SkyTrain lines that run along the same route. The probability that a single train is on-time is 90%. If one SkyTrain line is delayed, then the other line has only a 20% chance of being on-time. Buses are on-time 85% of the time. Bus routes operate independently. Buses also operate independently from the SkyTrain. If you experience any delay, you will be late for class. a. What is the probability that at least one train will be on-time? b. What is the probability of making it to school on time if you take route A? c. What is the probability of making it to school on time if you take route B? d. Which route is more reliable?

Explanation / Answer

a) probabilty that at least one train will be on time =first and second both on time+first one delayed seconnd on time+first one on time *second one delayed =0.9*0.9+0.1*0.2+0.2*0.1=0.85

b)probabilty to make on time if taken route A=first bus in time*second bus in time =0.85*0.85=0.7225

c))probabilty to make on time if taken route B=train on time*bus on time=0.85*0.85=0.7225

d) both routes have equal relaibility

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.