In: Statistics and Probability
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 automization. A figure in the paper suggested the normal distribution with mean 1050 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 1000 μm?
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)Is the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1500 μm?