After scoring a touchdown in football, a coach must make a decision on whether the team should kick for one extra point or attempt a two-point conversion. A coach argues that the team should always kick the extra point because it is the safer play to guarantee a point.

He argues further that in one National Football League (NFL) season, teams were successful kicking the extra point 94% of the time while they were only successful on the two-point conversion 49% of the time.
Write an argument to support the fact that a team should choose the two-point conversion based on the expected values you found in Questions 2 and 3. Be sure to include standard deviation in your answer as well.

1 answer

Lets say you score 100 touch downs
kicking you get 0.94 * 100 * 1 = 94 points
running you get 0.49* 100 * 2 = 98 points