For a certain section of a pine forest the numb er of diseas

For a certain section of a pine forest, the numb er of diseased trees p er acre, X, follows the Poisson distribution with = 10. The diseased trees are sprayed with an insecticide at a cost of $3.00 per tree, plus a fixed overhead cost for equipment rental of $50.00. a. Find the probability that a randomly selected acre from this forest will contain at least 12 diseased trees. b. Letting C denote the total cost for a randomly selected acre, find the expected value and standard deviation of C.

Solution

For a certain section of a pine forest, the numb er of diseased trees p er acre, X, follows the Poisson distribution with = 10. The diseased trees are sprayed w

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