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 cm² 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 cm² of surface area. Find a) P(X = 7) b) P(X ≥ 3) c) P(2 <>< 7)="" d)="">Xe) σX.
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