A certain section of a Northern Alberta forest is undergoing a pine-beetle infestation. A biologist has determined that the number of pine-beetle infected trees fluctuates from acre to acre, with an average of 10.6 pine-beetle infected trees per acre. An acre of this forest is chosen at random and the number of pine-beetle infected pine trees is to be counted. (a) What is the probability that between 6 and 10, inclusive, infected trees are found? (use four decimals in your answer) (b) What is the probability that more than 13 pine beetle infected trees will be found
A certain section of a Northern Alberta forest is undergoing a pine-beetle infestation. A biologist has determined that the number of pine-beetle infected trees fluctuates from acre to acre, with an average of 10.6 pine-beetle infected trees per acre.
An acre of this forest is chosen at random and the number of pine-beetle infected pine trees is to be counted.
(a) What is the probability that between 6 and 10, inclusive, infected trees are found?
(use four decimals in your answer)
(b) What is the probability that more than 13 pine beetle infected trees will be found? (use four decimals)
(c) As a way to combat the infestation, the infected trees are to be sprayed with an insecticide at a cost of $3 for every tree infested with pine beetle(s), plus an overhead fixed cost of $60 for equipment rental. Letting Cost represent the total cost for spraying all the pine-beetle infested trees for a randomly chosen acre of forest.
Find the expected cost of spraying an acre. In addition, find the standard deviation in the cost of spraying an acre.
E(Cost)= __________$ (use two decimals)
SD(Cost)= _________$ (use two decimals)
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