Using Matlab. Suppose a casino invents a new game that you must pay $250 to play. The game works like this: The

casino draws

random numbers between 0 and 1

from a uniform distribution. It adds them to

gether until

their sum is greater than 1, at which time it stops drawing new numbers. You get a payout of $100 each

time a new number is drawn.

For example, suppose the casino draws 0.4 and then 0.7. Since the sum is greater than 1, it will stop

after the

se two draws, and you receive $200. If instead it draws 0.2, 0.3, 0.3, and then 0.6, it will stop

after the fourth draw and you will receive $40

0. Given the $250 entrance fee, should

you play the

game?