Landon is 80% sure that he forgot his textbook either at the Student Union or at

Question

Landon is 80% sure that he forgot his textbook either at the Student Union or at Monteith. He is 40% sure that the book is at the Student Union, and 40% sure that it is at Monteith. Given that Landon already went to Monteith and noticed his textbook is not there, what is the probability that he left it at the Student Union? To get from Hartford to NY, a student is thinking of traveling either by train or by bus. The probability that one arrives on time by train is 4/5 while the probability of arriving punctual taking the bus is 1/7. If in the end the student makes the choice between train and bus at random (e.g. by flipping a coin), what is the probability that the student takes a bus and arrives punctual?

Explanation / Answer

As per the chegg policy, we are advised to do one question at a time. So, i am attempting the 10th one.

10. Given,

P(Bus) = P(Train) = 1/2 [Since the decision will be made on the basis of flipping the coin]

Also,

P(Punctual | Bus) = 1/7

Hence,

P(Punctual and Bus) = P(Punctual | Bus)*P(Bus) = (1/7)*(1/2) = 1/14

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

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