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Mathematics, 11.04.2020 00:30 deaishaajennings123

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" investigated the effects of herbicide formulation on spray atomization. A figure in the paper suggested the normal distribution with mean 1050 μm and variance 22500 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 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
at least one exceeds 1500 μm?

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

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