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

Question:

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 2,4D

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 mm and standard deviation 150 mm 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 1000 mm?

b. What is the probability that the size of a single droplet is between 1000 and 1500 μm?

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 exactly two of them exceed 1500 μm?

Distribution
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