The number of yards gained is rightskewed and therefore a no

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 during the season.

Solution

P( x < 325 ) ----------srqt (325) = 18.03

P( x < 18.03 )

P( z < (18.03 - 21.5) / 8.3 )

P( z <-0.42) =0.3372