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 1350 µm? At least 975 μm? (Round your answers to four decimal places.) less than 1350 µm at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1350 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 1350 μm? (Round your answer to four decimal places.)
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 1350 µm? At least 975 μm? (Round your answers to four decimal places.) less than 1350 µm at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1350 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 1350 μm? (Round your answer to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Spray Drift and Droplet Size Analysis**
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 the paper suggested the normal distribution with a mean of 1050 µm and a standard deviation of 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle.
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### Questions:
**(a)** What is the probability that the size of a single droplet is less than 1350 µm? At least 975 µm? (Round your answers to four decimal places.)
- Less than 1350 µm: [Input box]
- At least 975 µm: [Input box]
**(b)** What is the probability that the size of a single droplet is between 975 and 1350 µm? (Round your answer to four decimal places.)
- Probability: [Input box]
**(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 [Input box] µm in size.
**(d)** If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1350 µm? (Round your answer to four decimal places.)
- Probability: [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F390df6bc-8765-4adb-882a-689888791ad2%2F96076fb5-8e85-4ba7-b468-a966ee402780%2Fqbxhz1s_processed.png&w=3840&q=75)
Transcribed Image Text:**Spray Drift and Droplet Size Analysis**
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 the paper suggested the normal distribution with a mean of 1050 µm and a standard deviation of 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle.
---
### Questions:
**(a)** What is the probability that the size of a single droplet is less than 1350 µm? At least 975 µm? (Round your answers to four decimal places.)
- Less than 1350 µm: [Input box]
- At least 975 µm: [Input box]
**(b)** What is the probability that the size of a single droplet is between 975 and 1350 µm? (Round your answer to four decimal places.)
- Probability: [Input box]
**(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 [Input box] µm in size.
**(d)** If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1350 µm? (Round your answer to four decimal places.)
- Probability: [Input box]
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