The laser interferometer gravitational-wave observatory (ligo) is very sensitive – it is designed to detect a change in distance between its mirrors 1/10,000th the width of a proton! thus, it also detects very minor disturbances, such as a car driving by, or someone walking down the hall. on average, the ligo inferometer at one of the two locations detects an average of 30 disturbances per hour that are not gravitational waves.

(a) what is the probability that there will be at least one disturbance in a 1 minute period?
(b) what is the probability that there will be at least one disturbance in a 5 minute period?
(c) what is the probability that there will be fewer than 5 disturbances in a 15 minute period?
(d) what is the probability that there will be more than 10 disturbances in a 15 minute period?