Consider an asymmetric binary communication channel characterized by conditional probabilities Pr[1g]0s] 0.03 and Pr[OR[1s] 0.02. The a priori probability of sending a binary 1 is given by Pr[ 1s] 0.56. We now transmit 25 bits of binary information over this channel. What is the probability that there are less than three bit errors?

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.