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 a paper suggested the normal distribution with mean 1050m and standard deviation 150m 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 than1485m? At least900m? (Round your answers to four decimal places.)

less than1485m
at least900m

(b) What is the probability that the size of a single droplet is between900and1485m? (Round your answer to four decimal places.) (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 exceeds1485m? (Round your answer to four decimal places.) You may need to use the appropriate table in theAppendix of Tablesto answer this question.