Question

The number of trees per acre in the Lassen National Forest in California follows a Poisson distribution with a rate of 100 trees per acre. Let the random variable X count the number of trees per randomly selected acre of the Lassen National Forest

A) State the distribution of the randomly variable defined above

B) Compute and interpret P(X=107)

C) Compute the probability that in a randomly selected acre of the Lassen National Forest there are at most 90 trees

D) Compute the probability that in a randomly selected acre of the Lassen National Forest there are more than 105 trees

E) Compute the probability that in a randomly selected acre of the Lassen National Forest there are exactly 100 trees

F) Using the mean and standard deviation, describe the number of trees in a typical acre of the Lassen National Forest

Answer 1