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  3. 1. suppose that x is a geometric r.v. and its pmf

1. Suppose that X is a Geometric r.v. and its pmf is f(x; p) = p(1...

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Question

Basic Math

1. Suppose that X is a Geometric r.v. and its pmf is

f(x; p) = p(1 ? p) x?1 , x = 1, 2, . . . and 0 ? p ? 1.

a. Calculate the mean of X.

b. Calculate the median of X.

c. Check and show whether the median is smaller than mean.

Answer & Explanation Solved by verified expert
4.4 Ratings (786 Votes)
a The mean here is computed asMultiplying both sides by 1p we get hereSubtracting the last equation from the second last one    See Answer
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