## Related questions with answers

Question

Let Xₙ be the random variable that equals the number of tails minus the number of heads when n fair coins are flipped. a) What is the expected value of Xₙ? b) What is the variance of Xₙ?

Solution

VerifiedStep 1

1 of 4DEFINITIONS

Properties expected value:

$E(X_1+X_2+...+X_n)=E(X_1)+E(X_2)+...+E(X_n)$

$E(aX+b)=aE(X)+b$

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