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An OLED television screen consists of 2,000 pixels. The number of bad pixels has a Poisson distribution with a rate of 1 bad pixel per thousand pixels. A screen is considered Grade A if there are no bad pixels, Grade B if there are at most three bad pixels, and Grade C otherwise. The price of a TV unit depends on the grade of its screen: $200 for Grade A, $180 for Grade B, and $150 for Grade C. 1. What is the expected price of a TV unit?

An OLED television screen consists of 2,000 pixels. The number of bad pixels has a Poisson distribution with a rate of 1 bad pixel per thousand pixels. A screen is considered Grade A if there are no bad pixels, Grade B if there are at most three bad pixels, and Grade C otherwise. The price of a TV unit depends on the grade of its screen: $200 for Grade A, $180 for Grade B, and $150 for Grade C. 1. What is the expected price of a TV unit?

A First Course in Probability (10th Edition)
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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An OLED television screen consists of 2,000 pixels. The number of bad pixels has a Poisson distribution with a rate of 1 bad pixel per thousand pixels. A screen is considered Grade A if there are no bad pixels, Grade B if there are at most three bad pixels, and Grade C otherwise. The price of a TV unit depends on the grade of its screen: $200 for Grade A, $180 for Grade B, and $150 for Grade C. 1. What is the expected price of a TV unit? 2. What is the expected number of bad pixels in a Grade B unit? 3. Give a good approximation of the probability that at most 17 units out of 98 produced are Grade C.
Transcribed Image Text:An OLED television screen consists of 2,000 pixels. The number of bad pixels has a Poisson distribution with a rate of 1 bad pixel per thousand pixels. A screen is considered Grade A if there are no bad pixels, Grade B if there are at most three bad pixels, and Grade C otherwise. The price of a TV unit depends on the grade of its screen: $200 for Grade A, $180 for Grade B, and $150 for Grade C. 1. What is the expected price of a TV unit? 2. What is the expected number of bad pixels in a Grade B unit? 3. Give a good approximation of the probability that at most 17 units out of 98 produced are Grade C.
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