Given Example described a sample statistic, H = highest number drawn, for the Cash 5 lottery game. Give another example of a sample statistic for the Cash 5 game, and describe what you think the shape of its sampling distribution would be.
Example
Winning the Lottery by Betting on Birthdays In the Pennsylvania Cash 5 lottery game, players select five numbers from the integers 1 to 39, and the grand prize is won by anyone who selects the same five numbers as the ones randomly drawn by the lottery officials. Suppose that in such a game, someone bets numbers corresponding to the days of the month on which five family members were born, which is anecdotally a common strategy.