## Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the surface of t

Question

Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the surface of the mineral. A certain mineral specimen is of such an age that there should be an average of 6 tracks per cm^2 of surface area. Assume the number of tracks in an area follows a Poisson distribution. Let X represent the number of tracks counted in 1 cm^2 of surface area. Find:(a) P(X = 7)(b) P(X ≥ 3)(c) P(2 < X < 7)(d) μX(e) σX

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2021-09-26T04:22:26+00:00
2021-09-26T04:22:26+00:00 1 Answer
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## Answers ( )

Answer:a) 0.138

b) 0.938

c) 0.544

d) 6

e) 2.45

Step-by-step explanation:Let X represent the number of tracks counted in 1 cm^2 of surface area.

The estimated average is 6 tracks per cm^2. This is the parameter λ of the Poisson distribution.

The expression for the Poisson distribution is

Then

a) x=7

b) x≥3

c) 2<x<7

d) and e)