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morganberry7057
11.03.2020 •
Mathematics
Compute E(X) for the following random variable X : X=Number of tosses until all 10 numbers are seen (including the last toss) by tossing a fair 10-sided die. To answer this, we will use induction and follow the steps below: Let E(i) be the expected number of additional tosses until all 10 numbers are seen (including the last toss) given i distinct numbers have already been seen. Find E(10) . E(10)=
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Ответ:
For 10 tosses we have that E(X)=10
Therefore E(i)= 1/10 +2/10 +3/1010/10
This implies that 40/10=E(i)
Therefore E(10) =40/10
= 4.
Ответ: