Refer to the discussion of the Cash 5 lottery game in given Example and the accompanying Table.
a. In what proportion of the games is the highest number 35 or more?
b. What is the median value of H for the 1560 Cash 5 games represented in given Example?
c. In what proportion of the games is the highest number 15 or less?
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.