9. A company that manufactures large LCD screens knows that not all pixels on their screen light, even if they spend great care when making them. They know that the manufacturing process has a blank pixel rate, on average, of 4.5 blank pixels in a sheet 4 ft by 10 ft that will be cut into smaller screens. They believe that the occurrences of blank pixels are independent. Their warranty policy states that they will replace any screen sold that shows more than 2 blank pixels. Suppose the number blank pixels can be modeled by a Poisson distribution. Complete parts a) through d) below. a) What is the mean number of blank pixels per square foot? The mean is pixel(s). (Round to three decimal places as needed.) b) What is the standard deviation of blank pixels per square foot? The standard deviation is pixel(s). (Round to three decimal places as needed.) c) What is the probability that a 2 ft by 3 ft screen will have at least one defect? A 2 ft by 3 ft screen will have at least one defect with probability (Round to three decimal places as needed.) d) What is the probability that a 2 ft by 3 ft screen will be replaced because it has too many defects? A2 ft by 3 ft screen will need to be replaced with probability (Round to three decimal places as needed.)
9. A company that manufactures large LCD screens knows that not all pixels on their screen light, even if they spend great care when making them. They know that the manufacturing process has a blank pixel rate, on average, of 4.5 blank pixels in a sheet 4 ft by 10 ft that will be cut into smaller screens. They believe that the occurrences of blank pixels are independent. Their warranty policy states that they will replace any screen sold that shows more than 2 blank pixels. Suppose the number blank pixels can be modeled by a Poisson distribution. Complete parts a) through d) below. a) What is the mean number of blank pixels per square foot? The mean is pixel(s). (Round to three decimal places as needed.) b) What is the standard deviation of blank pixels per square foot? The standard deviation is pixel(s). (Round to three decimal places as needed.) c) What is the probability that a 2 ft by 3 ft screen will have at least one defect? A 2 ft by 3 ft screen will have at least one defect with probability (Round to three decimal places as needed.) d) What is the probability that a 2 ft by 3 ft screen will be replaced because it has too many defects? A2 ft by 3 ft screen will need to be replaced with probability (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
D.5.
Transcribed Image Text:9. A company that manufactures large LCD screens knows that not all pixels on their screen light, even if they spend great care when making them. They know that the manufacturing process has a blank pixel rate, on average, of 4.5 blank pixels in a sheet 4 ft by
10 ft that will be cut into smaller screens. They believe that the occurrences of blank pixels are independent. Their warranty policy states that they will replace any screen sold that shows more than 2 blank pixels. Suppose the number of blank pixels can be
modeled by a Poisson distribution. Complete parts a) through d) below.
a) What is the mean number of blank pixels per square foot?
The mean is
pixel(s).
(Round to three decimal places as needed.)
b) What is the standard deviation of blank pixels per square foot?
pixel(s).
The standard deviation is
(Round to three decimal places as needed.)
c) What is the probability that a 2 ft by 3 ft screen will have at least one defect?
A 2 ft by 3 ft screen will have at least one defect with probability
(Round to three decimal places as needed.)
d) What is the probability that a 2 ft by 3 ft screen will be replaced because it has too many defects?
A 2 ft by 3 ft screen will need to be replaced with probability
(Round to three decimal places as needed.)
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