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 10.2 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 8 and 10, inclusive, infected trees are found? E (use four decimals in your answer) (b) What is the probability that more than 13 pine beetle infected trees will be found? E (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 $70 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) = $ E (use two decimals) SD(C'ost) = $ E (use two decimals) Preview My Answers Submit Answers