In Siberia's Taimyr Peninsula it is thought that there are a great number of mammoth skeletons buried beneath the permafrost. One paleontologist estimates that the skeletons are Poissonally distributed with a mean of 5 skeletons per hectare. If her estimate is correct, find the following:
(a) The probability that a randomly chosen hectare contains exactly 3 skeletons.
(b) If the first 5 hectares investigated each had less than 2 skeletons, would you doubt the paleontologist's claim of a mean of 5/hectare? Explain.

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a The probability of finding exactly 3 skeletons in a randomly chosen hectare is given by the probab... View the full answer