Answer:
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See the proof below.
Step-by-step explanation:
For this case we need to proof that: Let be independent random variables with a common CDF . Let be their ECDF and let F any CDF. If then
Proof
Let different values in the set {} and we can assume that represent the number of that are equal to .
We can define and assuming the probability .
For the case when for any then we have that the
And for the case when all and for at least one we know that for all the possible values . So then we can define the following ratio like this:
So then we have that:
And the log for a number is 0 or negative when the number is between 0 and 1, so then on this case we can ensure that
And with that we complete the proof.
$165
Bolded below are the answers
4568 ÷ 8
(4000 ÷ 8) + (560 ÷ 8) + (8 ÷ 8)
500 + 70 + 1
571
Hope this helps!