In a probability excercise I concluded that the expected value is the following infinite series:
$\sum_{i=1}^{\infty} \frac{2i}{2^i}$
I wrote down the first few terms and saw that it converges to 4, however, how do I solve this properly?
In a probability excercise I concluded that the expected value is the following infinite series:
$\sum_{i=1}^{\infty} \frac{2i}{2^i}$
I wrote down the first few terms and saw that it converges to 4, however, how do I solve this properly?
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