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

Armorikam

Answered question

2021-01-22

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)

Answer & Explanation

SkladanH

SkladanH

Skilled2021-01-23Added 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.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?