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**Unformatted text preview: **a) What is the probability that precisely 5 heads and 5 tails will be the outcome? b) What is the probability that precisely 6 heads and 4 tails will be the outcome? c) The width of the probability distribution can be characterized by the root-mean squared deviation N rms , N rms 1 2 N - N h 2 1/2 where N h is the number of heads and N is the total number of tosses. Find N rms and N rms /N for this problem. 4 . A fair coin is tossed 10,000 times, and the total number of heads and tails is counted. HINT: Consider using the Gaussian approximation and make use of Appendix A of Kittel and Kroemer to do the Gaussian integrals. a) What is the probability that precisely 5000 heads and 5000 tails will be the outcome? b) What is the probability that precisely 6000 heads and 4000 tails will be the outcome? c) Find N rms and N rms /N for this problem....

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