In this exercise, we prove that the binomial distribution (2
Question and Solution
In this exercise, we prove that the binomial distribution (2.9) is normalized. First use the definition (2.10) of the nu
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In this exercise, we prove that the binomial distribution (2.9) is normalized. First use the definition (2.10) of the number of combinations of m identical objects chosen from a total of N to show that N m + N m ? 1 = N + 1 m . Use this result to prove by induction the following result (1 + x) N = N m=0 N m xm (2.263) which is known as the binomial theorem, and which is valid for all real values of x. Finally, show that the binomial distribution is normalized, so that N m=0 N m
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