Consider a binary code with 7 bits (0 or 1) in each code word. In each code word, a bit is a zero with probability 0.6, independent of any other bit. (a) How many different code words are there? (b) How many code words have exactly three 0’s? (c) What is the probability that a code word contains exactly three 0’s?
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.
Consider a binary code with 7 bits (0 or 1) in each code word. In each code word, a bit
is a zero with
(a) How many different code words are there?
(b) How many code words have exactly three 0’s?
(c) What is the probability that a code word contains exactly three 0’s?
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