Another way to compute the mean X ~ Geom(p)) Since ka= Sigma k, j=1, a for any quantity a, we can start the computation of the mean of X ~ Geom(p) as follows: (formula shown in picture below).  Now switch the orde

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(Another way to compute the mean X ~ Geom(p)) Since ka= Sigma k, j=1, a for any quantity a, we can start the computation of the mean of X ~ Geom(p) as follows: (formula shown in picture below). 

Now switch the order of summation. This means that you take the j-summation outside and put the k-summation inside. But be careful with the limits of the sums. After this you get to the answer by elevating two geometric series.

Geom(p)) Since
Exercise 3.51. (Another way to compute the mean of X
ka = E-, a for any quantity a, we can start the computation of the mean of
X ~ Geom(p) as follows:
%3D
o k
E(X) = k(1 – p)k-'p = >(1 - p)k=1p.
%3D
k=1
k=1 j=1
Now switch the order of summation. This means that you take the j-summation
outside and put the k-summation inside. But be careful with the limits of the
sums. After this you get to the answer by evaluating two geometric series.
Transcribed Image Text:Geom(p)) Since Exercise 3.51. (Another way to compute the mean of X ka = E-, a for any quantity a, we can start the computation of the mean of X ~ Geom(p) as follows: %3D o k E(X) = k(1 – p)k-'p = >(1 - p)k=1p. %3D k=1 k=1 j=1 Now switch the order of summation. This means that you take the j-summation outside and put the k-summation inside. But be careful with the limits of the sums. After this you get to the answer by evaluating two geometric series.
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