Answer to Question #309888 in Statistics and Probability for badshah

Question

Susan and Thomas play a game using two 10p coins. The coins are tossed and

Susan records her score using the random variable S and Thomas records his

score using the random variable T. After a large number of tosses they compare

their scores.

Comment on any likely differences and similarities.

Answer 1

Both random variables have an expected value of zero, (0). Therefore, we expect both Susan and Thomas to have a score of approximately 0.

The random variable S which represents Susan’s score has higher variance, hence we should expect it to vary more.