Spray drift is a constant concern for pesticide applicators and agricultural pro

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 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"1t investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 m and standard deviation 150 m 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 1380 m? At least 925 m? (Round your answers to four decimal places.) less than 1380 m ,9861 at least 925 m 78814 (b) what is the probability that the size of a single droplet is between 925 and 1380 m? (Round your answer to four decimal places.) 77424 (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of droplets are those smaller than m in size. (d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1380 ? (Round your answer to four decimal places.)

Explanation / Answer

a)  

b)

c) for 2 percentile ; z score =-2.05

therefore corresponding size =mean +z*std deviaiton =741.94 ( please try 742.5 if this does not work)

d)

probability that at least one exceeds 1380 =1-P(none exceeds) =1-(0.9861)5 =0.0676

for normal distribution z score =(X-)/

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