Question

buses arrive at a bus stop at 15minute interval,starting from
7am if a passenger arrived at a times that is his uniformly distributed
(a):find the probability that the passenger wait less than 5minute for a bus?
(b):find the probability that the passenger wait more than 10minute for a bus?
thanks Step plz

Answer 1

all wait times have an equal probability

so the probability of being in any one of three five-minute intervals is ⅓

(a) is the 1st interval
(b) is the last interval