Question

John and Sarah play a game using two 10p coins. The coins are tossed and John records her score using the random variable S and Sarah uses the random variable T.
After a large number of tosses they compare their scores.
Comment on any likely differences or similarities. Please describe your answer?

Answer 1

Both random variables have expected value 0, so we would expect both Susan and Thomas to have a score of approximately 0.

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