roplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet ize and Deposition"t investigated the effects of herbicide formulation on spray atomization. A figure in a paper uggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for drople ize for water (the "control treatment") sprayed through a 760 ml/min nozzle. In USE SALT (a) What is the probability that the size of a single droplet is less than 1455 µm? At least 925 µm? (Round your answers to four decimal places.) less than 1455 pm at least 925 um (b) What is the probability that the size of a single droplet is between 925 and 1455 um? (Round your answer to four decimal places.)

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### Understanding Spray Drift and Droplet Size

Spray drift is a significant concern for both pesticide applicators and agricultural producers. The relationship between droplet size and drift potential is inversely proportional; larger droplets tend to drift less. A study investigated the effects of herbicide formulation on spray atomization. The research used a normal distribution with a mean droplet size of 1050 µm and a standard deviation of 150 µm as a model for water droplets sprayed at 760 ml/min.

#### Probability Questions

(a) **Probability of Droplet Size:**
- **Less than 1455 µm:** Calculate the probability that a droplet's size is under 1455 µm.
- **At least 925 µm:** Calculate the probability that a droplet’s size is at least 925 µm.

(b) **Droplet Size Range Probability:**
- Determine the probability that a droplet's size falls between 925 µm and 1455 µm.

(c) **Characterizing Small Droplets:**
- Identify the size below which the smallest 2% of droplets fall.

(d) **Probability of Exceeding 1455 µm:**
- If five droplets are independently measured, calculate the probability that at least one droplet measures more than 1455 µm.

Use of statistical tables or software is necessary for precise calculations.

You may refer to the detailed statistical tables in the "Appendix of Tables" for assistance in solving these questions.
Transcribed Image Text:### Understanding Spray Drift and Droplet Size Spray drift is a significant concern for both pesticide applicators and agricultural producers. The relationship between droplet size and drift potential is inversely proportional; larger droplets tend to drift less. A study investigated the effects of herbicide formulation on spray atomization. The research used a normal distribution with a mean droplet size of 1050 µm and a standard deviation of 150 µm as a model for water droplets sprayed at 760 ml/min. #### Probability Questions (a) **Probability of Droplet Size:** - **Less than 1455 µm:** Calculate the probability that a droplet's size is under 1455 µm. - **At least 925 µm:** Calculate the probability that a droplet’s size is at least 925 µm. (b) **Droplet Size Range Probability:** - Determine the probability that a droplet's size falls between 925 µm and 1455 µm. (c) **Characterizing Small Droplets:** - Identify the size below which the smallest 2% of droplets fall. (d) **Probability of Exceeding 1455 µm:** - If five droplets are independently measured, calculate the probability that at least one droplet measures more than 1455 µm. Use of statistical tables or software is necessary for precise calculations. You may refer to the detailed statistical tables in the "Appendix of Tables" for assistance in solving these questions.
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