A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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 1050 μm and standard
deviation 150 μm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle.
USE SALT
(a) What is the probability that the size of a single droplet is less than 1365 μm? At least 975 μm? (Round your answers to four decimal places.)
less than 1365 μm
at least 975 μm
(b) What is the probability that the size of a single droplet is between 975 and 1365 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 1365 μm? (Round your answer to four decimal places.)
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Transcribed Image Text: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 1050 μm and standard deviation 150 μm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1365 μm? At least 975 μm? (Round your answers to four decimal places.) less than 1365 μm at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1365 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 1365 μm? (Round your answer to four decimal places.)
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