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?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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?

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