Problem 4. A machine receives signals, and the number of signals it receives has a Poisson (. distribution. The signal is either positive or negative, and the probability for the signal be positive is p. Signals are mutually independent, and are independent of the number signals the machine receives. Let the number of positive signals it receives be n, and fin the distribution of n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Problem 4. A machine receives signals, and the number of signals it receives has a Poisson (X)
distribution. The signal is either positive or negative, and the probability for the signal to
be positive is p. Signals are mutually independent, and are independent of the number of
signals the machine receives. Let the number of positive signals it receives be n₂ and find
the distribution of η.
Transcribed Image Text:Problem 4. A machine receives signals, and the number of signals it receives has a Poisson (X) distribution. The signal is either positive or negative, and the probability for the signal to be positive is p. Signals are mutually independent, and are independent of the number of signals the machine receives. Let the number of positive signals it receives be n₂ and find the distribution of η.
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