The expectation of the number of people getting their correct hats in the hat check problem, using linearity of expectations. n persons receive n hats

Armorikam 2021-01-22 Answered
The expectation of the number of people getting their correct hats in the hat check problem, using linearity of expectations.
n persons receive n hats in a random fashion.
Formula used: By linearity of expectation function,
If X1,X2,...,Xn are random variables, then
E(X1,+X2+,...+Xn)=E(X1)+E(X2)+...+E(Xn) (2)
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Expert Answer

SkladanH
Answered 2021-01-23 Author has 80 answers
Let Xi, denote the random variable which assumes the value 1 if the person i receives his own hat and the value 0 if he doesnt.
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