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Mathematics, 28.01.2020 04:31 nikidastevens36

Spray drift is a constant concern for pesticide applicators and agricultural producers. the inverse relationship between droplet size and crift 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 1s a reasonable model for droplet size for water the "control treatrment") sprayed through a 760 ml/min nozzle
(a) what is the probability that the size of a single droplet is less than 1425 μm? greater than 900 μm? (round your answers to four decimal places.) less than 1425 μm greater than 900 μ m
(b) what is the probability that the size of a single droplet is between 900 and 1425 μm? (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 um in size.
(d) if the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1425 μm? hint: see binomial distribution for lesson 6, (round your answer to four decimal places.)

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