So I'm given an assignment in probability and statistics that states the following:
The download time for one document through the internet on a lab computer has an average of 25 seconds and that time has an exponential distribution. Find the expected time to download 3 documents.
So judging by the assignment if the download time for a single document has an exponential distribution then:
$\frac{1}{λ} = 25 => λ = \frac{1}{25}$
Now since we are looking for 3 documents the λ for 3 documents is equaled to:
$λ = \frac{3}{25}$
Hence the expected value should be equaled to: $\frac{25}{3}$ seconds
However here is my confusion:
Since $\frac{25}{3} < 25$ and we're talking about the expected time to download 3 files then souldn't the expected value be grater than 25?
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