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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