Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition" (Weed Technology, 2005:1030-1036) investigated the effects of herbicide formulation on spray atomization.A figure in the paper suggest the normal distribution with mean 1050ηm and standard deviation 150 ηm was a reasonable model for droplet size for water sprayed through a 760 ml/min nozzle.
a. what is the probability that the size of a single droplet is less than1500 ηm ? At least 1000 ηm?
b.What is the probability that the size of a single droplet is between 1000 and 1500 ηm?
c.How would you characterize the smallest 2% of all droplet?
d.If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1500 ηm?