Spray drift is a constant concern for pesticide applicators and agricultural producers. the inverse relationship between droplet size and drift potential is well known. a researcher is interested in the effects of herbicide formulation on spray atomization. the researcher believes a normal distribution with mean 1050 µm and standard deviation 150 µm is 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?