Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between...

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Spray drift is a constant concern for pesticide applicators andagricultural producers. The inverse relationship between dropletsize and drift potential is well known. A researcher is interestedin the effects of herbicide formulation on spray atomization. Theresearcher believes a normal distribution with mean 1050 µm andstandard deviation 150 µm is a reasonable model for droplet sizefor water (the "control treatment") sprayed through a 760 ml/minnozzle.
(a) What is the probability that the size of a single droplet isless than 1380 µm? Greater than 1000 µm? (Round your answers tofour decimal places.)
less than 1380 µm
greater than 1000 µm

(b) What is the probability that the size of a single droplet isbetween 1000 and 1380 µm? (Round your answer to four decimalplaces.)

(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 ___ µm insize.

(d) If the sizes of five independently selected droplets aremeasured, what is the probability that at least one exceeds 1380µm? (Round your answer to four decimal places.)

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3.9 Ratings (612 Votes)

Here we have 1050 150a Here we need to findp x 1380 p z 22 09861 using standard normal probability tablep x 1000 p z 033 1 p z 033 1 03707 06293 using See Answer

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