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Meteorites randomly strike the earth’s surface at an average rate of 90 meteorites per hour. (a)...

Meteorites randomly strike the earth’s surface at an average rate of 90 meteorites per hour.

(a) Find the probability that at least 4 meteorites strike the earth during a three-minute interval.

(b) Find the probability that the time between two consecutive meteorites striking the earth is greater than 20 seconds. Derive the formulation using the c.d.f., but do not calculate it.

(c) Find the probability that the time until 4 meteorites strike the earth is greater than 2 minutes.

(d) Calculate the expected time until 4 meteorites strike the earth.

I know we use poissons distribution but im having trouble breaking down and understanding this problem.

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Expert Solution

meteorites randomly strike the earths surface at an average rate of 90 meteorites per hour

milcah answered 6 months ago
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