Reference no: EM132401495

The commuter's dream: a bus line where a bus comes every minute, is never late or early, and where service never decreases nor stops at night.

You show up at one of those utopic bus stops at noon, not knowing what is the bus schedule. Let Wbus denote the time you have to wait (in minutes).

(a) Define an appropriate probability model (feel free to bounce ideas during office hour to make sure you are in the right track).

(b) Compute the probability that you have to wait the bus for more than 6 seconds.

(c) Compute E[Wbus] and Var[Wbus].

(d) Compute the probability that you have to wait the bus for more than 6 seconds given it did not come in the first 3 seconds. Is this probability smaller, equal or bigger than what you found in 1b?