Suppose there is a 0.01 probability that an oak tree has a given form of a fungal disease. Assume these trees contract the disease independently from other trees.

1. a)In a sample of 100 trees, find the exact probability that exactly 1 tree has this disease.
2. b)In a sample of 100 trees, find an approximation to the probability that exactly 1 tree has this disease.

Answers:

1) (0.99)^(0.99)

2)e^-1