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7. A light sensor uses a photodetector whose output is modeled as a Poisson random variable X, with mean A. The sensor triggers an alarm if X> 15. If λ=10, find the probability that the alarm is triggered.

7. A light sensor uses a photodetector whose output is modeled as a Poisson random variable X, with mean A. The sensor triggers an alarm if X> 15. If λ=10, find the probability that the alarm is triggered.

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
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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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7. A light sensor uses a photodetector whose output is modeled as a Poisson random variable X, with mean 2. The sensor triggers an alarm if X> 15. If λ=10, find the probability that the alarm is triggered.
Transcribed Image Text:7. A light sensor uses a photodetector whose output is modeled as a Poisson random variable X, with mean 2. The sensor triggers an alarm if X> 15. If λ=10, find the probability that the alarm is triggered.
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Step 1: Given information

The provided information is as follows:
The X tilde P left parenthesis lambda right parenthesis.
lambda equals 10.
The sensor triggers the alarm if X greater than 15.

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