The uniform distribution - Example 2
As an application of integral calculus, I solve in this video a probability problem that was asked by one student:
A bus on line A arrives at a bus station every 4 minutes and a bus on line B every 6 minutes. The time interval between an arrival of a bus for line A and a bus for line B is uniformly distributed between 0 and 4 minutes. Find the probability
a) That the first bus that arrives will be for line A
b) That a bus will arrive within 2 minutes (for line A or B)