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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6 December, 08:41

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Joaquin Hull · Answer 1

For 10 tosses we have that E (X) = 10

Therefore E (i) = 1/10 + 2/10 + 3/10 ... 10/10

This implies that 40/10=E (i)

Therefore E (10) = 40/10

= 4.