Trains headed for destination a arrive at the train station at 15-minute intervals starting at 7 a. m., whereas trains headed for destination b arrive at 15-minute intervals starting at 7: 05 a. m. (a) if a certain passenger arrives at the station at a time uniformly distributed between 7 and 8 a. m. and then gets on the first train that arrives, what proportion of time does he or she go to destination a

  2/3

Step-by-step explanation:

In the 5-minute interval between 7:00 and 7:05, a train to B is the first to arrive. In the 10-minute interval between 7:05 and 7:15, a train to A is the first to arrive. That is, in any 15-minute interval, the probability is 10/15 = 2/3 that a train to A is the first to arrive.

The 1-hour interval between 7 A.M. and 8 A.M. is an integer number of such intervals, so ...

  2/3 of the time, he or she will go to destination A.

b

step-by-step explanation:

step-by-step explanation:

the answer is 89 d

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