Question: Geologists estimate the since the most 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 \(\mathrm{cm} 2\) of surface area. Assume the number of tracks in an area follows a Poisson distribution. Let \(X\) represent the number of tracks counted in \(1 \mathrm{~cm} 2\) of surface area. Find

1. \(P(X=7)\)
2. \(P(X \geq 3)\)

d. \(\mu X\)

e. \(\sigma X\)

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