Meteorites randomly strike the earth’s surface at an averagerate of 90 meteorites per hour.
(a) Find the probability that at least 4 meteorites strike theearth during a three-minute interval.
(b) Find the probability that the time between two consecutivemeteorites striking the earth is greater than 20 seconds. Derivethe formulation using the c.d.f., but do not calculate it.
(c) Find the probability that the time until 4 meteorites strikethe earth is greater than 2 minutes.
(d) Calculate the expected time until 4 meteorites strike theearth.
I know we use poissons distribution but im having troublebreaking down and understanding this problem.
