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The Probabilities of Getting 0,1,20,1,2 , or 3 Heads in Three Flips of a Balanced

Question 43

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The probabilities of getting 0,1,20,1,2 , or 3 heads in three flips of a balanced coin are, respectively, 18,38,38\frac{1}{8}, \frac{3}{8}, \frac{3}{8} , and 18\frac{1}{8} .
Use the formulas that define μ\mu and σ2\sigma^{2} to find the mean and the standard deviation of this probability distribution. If necessary, round to the nearest thousandth.

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