Data from the National Football League (NFL) from the 2006 season reported the number of yards gained by each of the league's wide receivers. The data in this Excel file NFL wide receivers shows the yards gained by each wide receiver in the NFL who gained 50 or more yards during the 2006 season.
The number of yards gained is right-skewed and therefore a normal model is NOT a good model for the data. However, the square root of the number of yards gained can be approximated very well by a N(21.5, 8.3) model.
Question 1. Use the normal model to determine the probability that a wide receiver gained 325 yards or less in the 2006 season.
Question 2. A particular wide receiver has a bonus clause in his contract that pays him a bonus of $1 million if his yards gained are in the top 10% of yards gained by wide receivers. How many yards does this receiver have to gain to get the bonus?