Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. In an academic paper investigating 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 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (Round your answers to 4 decimal places, if needed.) [Note: When needed, correct answers use the provided z-table on eClass, but Excel can also be appropriately used to simulate the table] (a) What is the probability that the size of a single droplet is less than 1380 µm? At least 915 pm? Less than 1380 um: At least 915 pm: (b) What is the probability that the size of a single droplet is between 915 and 1380 µm? (c) How would you characterize the smallest 1% of all droplets? The smallest 1% of droplets are those smaller than (d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1380 um? pm in size.
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. In an academic paper investigating 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 um was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (Round your answers to 4 decimal places, if needed.) [Note: When needed, correct answers use the provided z-table on eClass, but Excel can also be appropriately used to simulate the table] (a) What is the probability that the size of a single droplet is less than 1380 µm? At least 915 pm? Less than 1380 um: At least 915 pm: (b) What is the probability that the size of a single droplet is between 915 and 1380 µm? (c) How would you characterize the smallest 1% of all droplets? The smallest 1% of droplets are those smaller than (d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1380 um? pm in size.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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. In an academic paper investigating 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 um was a reasonable model for droplet size for water (the "control treatment")
sprayed through a 760 ml/min nozzle. (Round your answers to 4 decimal places, if needed.)
[Note: When needed, correct answers use the provided z-table on eClass, but Excel can also be appropriately used to simulate the table.]
(a) What is the probability that the size of a single droplet is less than 1380 pm? At least 915 pm?
Less than 1380 um:
At least 915 pm:
(b) What is the probability that the size of a single droplet is between 915 and 1380 µm?
(c) How would you characterize the smallest 1% of all droplets?
The smallest 1% of droplets are those smaller than
(d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1380 um?
pm in size.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f76cb68-f4db-410f-92dc-964e91d748a9%2F609f0c36-0a0f-42e3-96a9-95a2425d6078%2Fbix1cu_processed.jpeg&w=3840&q=75)
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. In an academic paper investigating 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 um was a reasonable model for droplet size for water (the "control treatment")
sprayed through a 760 ml/min nozzle. (Round your answers to 4 decimal places, if needed.)
[Note: When needed, correct answers use the provided z-table on eClass, but Excel can also be appropriately used to simulate the table.]
(a) What is the probability that the size of a single droplet is less than 1380 pm? At least 915 pm?
Less than 1380 um:
At least 915 pm:
(b) What is the probability that the size of a single droplet is between 915 and 1380 µm?
(c) How would you characterize the smallest 1% of all droplets?
The smallest 1% of droplets are those smaller than
(d) If the sizes of five independently selected droplets are measured, what is the probability that at least one exceeds 1380 um?
pm in size.
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