Geologists estimate the time since the most recent cooling of a mineral by counting the

Chapter 4, Problem 4

(choose chapter or problem)

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 \(c m 2\) of surface area. Assume the number of tracks in an area follows a Poisson distribution. Let X represent the number of tracks counted in \(1 c m 2\) of surface area. Find

a. \(P(X=7)\)

b. \(P(X \geq 3)\)

c. \(P(2<X<7)\)

d. \(\mu_{X}\)

e. \(\sigma_{X}\)

Equation Transcription:

Text Transcription:

cm2

1 cm2

P(X=7)

P(X \geq 3)

P(2<X<7)

\mu_X

\sigma_X