Problem 1

(40 points)

Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse

relationship between droplet size and drift potential is well known. A study suggested a normal

distribution with mean 1050 nm and standard deviation 150 nm was a reasonable model for droplet size

for water (the "control treatment") sprayed through a 760 ml/min nozzle.

a) What is the probability that the size of a single droplet is at most 1500 nm?

b) What is the probability that the size of a single droplet is at least 1000 nm?

c) What is the probability that the size of a single droplet is between 1000 and 1500 nm?

d) Provide an explanation comparing the results in parts b and c.