a. What is the probability of error for an arbitrary connection? (Hint: This is similar to the resistors with the nominal value problem) b. Suppose we observe an error, what is the probability that we were connected via a channel Type I?

A First Course in Probability (10th Edition)
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Suppose that in a dial-up connection you may be connected through one of three types of channels with
varying quality of transmission. In Type I the channel has an error probability of 0.01, in Type Il the
channel has an error probability of 0.005, and in Type III the channel has an error probability of 0.001.
Suppose we assume that for the service provider used, 20% of the channels are of Type I, 30% of the
channels are of Type II and 50% of the channels are of Type II.
a. What is the probability of error for an arbitrary connection? (Hint: This is similar to the resistors
with the nominal value problem)
b. Suppose we observe an error, what is the probability that we were connected via a channel
Type I?
Transcribed Image Text:Suppose that in a dial-up connection you may be connected through one of three types of channels with varying quality of transmission. In Type I the channel has an error probability of 0.01, in Type Il the channel has an error probability of 0.005, and in Type III the channel has an error probability of 0.001. Suppose we assume that for the service provider used, 20% of the channels are of Type I, 30% of the channels are of Type II and 50% of the channels are of Type II. a. What is the probability of error for an arbitrary connection? (Hint: This is similar to the resistors with the nominal value problem) b. Suppose we observe an error, what is the probability that we were connected via a channel Type I?
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HERE WE USE PROBABILITY TREE FOR RETRIVE PROBABILITY FROM GIVEN INFORMATION

 

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