Question

You want to get from point X to point Y and then back to X. To...

You want to get from point X to point Y and then back to X. To get from X to Y there are 3 possible routes while to get from Y to X there are 4 possible routes. The time, in minutes, to travel each route are

Route

from x to y

from y to x

1

20

10

2

15

12

3

20

15

4

25

i) How many ways are there to complete the round trip?
ii) If the routes are chosen at random, both going and returning, find the pmf of the travel time

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