Stochastic_Jimmy
New member
- Joined
- Jan 10, 2013
- Messages
- 27
Hi all,
I've got a problem that's giving me some trouble:
A boy goes to the bus stop at some time between 8am and 9am, each moment being equally likely. The bus will come some time between 7:30am and 8:30am, also equally likely. The bus will wait up to 15 minutes for the kid. The kid will wait up to 30 minutes for the bus. What is the chance the kid makes it onto the bus?
What's tripping me up is that the boy and the bus wait for different amounts of time and their arrive times aren't spread out over the same hour long time interval. If they both arrived between 8 and 9 and both waited 15 minutes then I think I could solve it simply by plotting it out on in a square on the xy-plane and finding the area in a certain region of the square. But I'm having trouble finding a way to do it with this setup.
Thanks in advance for any pointers!
I've got a problem that's giving me some trouble:
A boy goes to the bus stop at some time between 8am and 9am, each moment being equally likely. The bus will come some time between 7:30am and 8:30am, also equally likely. The bus will wait up to 15 minutes for the kid. The kid will wait up to 30 minutes for the bus. What is the chance the kid makes it onto the bus?
What's tripping me up is that the boy and the bus wait for different amounts of time and their arrive times aren't spread out over the same hour long time interval. If they both arrived between 8 and 9 and both waited 15 minutes then I think I could solve it simply by plotting it out on in a square on the xy-plane and finding the area in a certain region of the square. But I'm having trouble finding a way to do it with this setup.
Thanks in advance for any pointers!