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Question regarding geometric distribution

Suppose that X is a geometric random variable. (a) prove that for positive integers n and k, P(X=n+k|X>n)=P(X=k). (b)explain what this result means and why it makes sense for a geometric distribution to have this property.

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## Q : Size of the range of values

The middle 68% of the data falls between what two values? What is the size of the range of values for the middle 99.7% of the data? What percent of the data falls above the mean plus two standard deviations?