Question 4. To make the score game popular in the United States, the league

president is proposing to change the design of the goal posts. She has two

design proposals. In both designs, she wants to set the center of the goal posts

at the point marked as 100. The Standard division for both designs is

considered to be 10 feet.

1) In Design one the goal posts are installed in equal distance from the

center in a bell shape manner at 80 and 120. During training, a kicker,

kicks 500 balls. How many of balls do you expect to go outside of the

goal posts?

2) In Design two, the shape is a weird looking asymmetric design, and the

goal posts were installed at 75 and 125 around the center. During

training, a kicker, kicks 500 balls through this weird looking goal posts.

How many balls do you expect to go outside of the goal posts?