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For a certain section of a pine forest, the number of
Chapter 3, Problem 177E(choose chapter or problem)
Problem 177E
For a certain section of a pine forest, the number of diseased trees per acre, Y, has a Poisson distribution with mean λ = 10. The diseased trees are sprayed with an insecticide at a cost of $3 per tree, plus a fixed overhead cost for equipment rental of $50. Letting C denote the total spraying cost for a randomly selected acre, find the expected value and standard deviation for C. Within what interval would you expect C to lie with probability at least .75?
Questions & Answers
QUESTION:
Problem 177E
For a certain section of a pine forest, the number of diseased trees per acre, Y, has a Poisson distribution with mean λ = 10. The diseased trees are sprayed with an insecticide at a cost of $3 per tree, plus a fixed overhead cost for equipment rental of $50. Letting C denote the total spraying cost for a randomly selected acre, find the expected value and standard deviation for C. Within what interval would you expect C to lie with probability at least .75?
ANSWER:
Solution:
Step 1 of 3:
Given that,Y has a poisson distribution with mean
Let C denote the total spraying cost for a randomly selected acre.
That, is C = 50 + 3Y