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 suggested the normal distribution with mean 1050 μm and standard deviation 150 μm 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 less than 1500 μm ? At least 1000μm ?
b. What is the probability that the size of a single droplet is between 1000 μm and ?
c. How would you characterize the smallest 2% of all droplets?
d. If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1500μm?
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