3.177 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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Probability & Statistics
3.177
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?
Transcribed Image Text:3.177 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?
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