Question

show using R if possible please !

Previous Problem Problem List Next Problem (1 point) A certain section of a Northern Alberta forest is undergoing a pine-beetle Infestation. A blologist has determined that the number of pine-beetle infected trees fluctuates from acre to acre, with an average of 9.7 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 7 and 9. Inclusive, Infected trees are found? B (use four decimals in your answer) (b) What is the probability that more than 12 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 $4 for every tree infested with pine beetle(s). plus an overhead fixed cost of $55 for equipment rental. Letting Cost represent the total cost for spraying all the pine-beetle Infested trees for a randomly chosen acre of forest. Find the expected cost of spraying an acre. In addition, find the standard deviation in the cost of spraying an acre. !!! E(Cost) =$ SD(Cost) = $ (use two decimals) (use two decimals) Preview My Answers Submit Answers You have attempted this problem 0 times You have 4 attempts remaining.

Answer 1

a)

use below R code:

> ppois(9,9.7)-ppois(6,9.7)
[1] 0.3457579

probability =0.3458

b)R code:

> 1-ppois(12,9.7)
[1] 0.1808952

probability =0.1809

v)

E(cost)=55+4*9.7 =93.8

SD(Cost) =4*sqrt(9.7)=12.46