Question: Trains heades for destination A arrive at the train station at15-minut

ID: 2955246 • Letter: Q

Question

Question: Trains heades for destination A arrive at the train station at15-minute intervals starting at 7 A.M., whereas trains headed fordestination B arrive at 15-minute intervals starting at 7:05A.M. (a) If a certain passenger arrives at the station at atime uniformly distributed between 7 and 8 A.M. and then gets onthe first train that arrives, what proportion of time does he orshe go to destination A? (b) What if the passenger arrives at a time uniformlydistributed between 7:10 and 8:10 A.M.? Question: Trains heades for destination A arrive at the train station at15-minute intervals starting at 7 A.M., whereas trains headed fordestination B arrive at 15-minute intervals starting at 7:05A.M. (a) If a certain passenger arrives at the station at atime uniformly distributed between 7 and 8 A.M. and then gets onthe first train that arrives, what proportion of time does he orshe go to destination A? (b) What if the passenger arrives at a time uniformlydistributed between 7:10 and 8:10 A.M.?

Explanation / Answer

b) Passenger arrives at a time uniformly distributed between7:10 and 8:10 am.

Let t = 0 be7:00 am.

10-15

15-20

20-30

30-35

35-45

45-50

50-60

60-65

65-70