The speed test:
In order to measure a player's speed, each player's time to run 40 yards is recorded. This is called the 40 yard dash. The distribution of 40 yard dash times follows an approximately normal distribution with a mean of 4.70 seconds and a standard deviation of 0.15 seconds.
a) Dez runs the 40 yard dash in 4.42 seconds. What percent of players run the 40 yard dash fasterthan Dez?
b) What percent of the players run the 40 yard dash between 4.42 seconds and 4.57 seconds?
c) What time would a player need to run the 40 yard dash in order to be in the top 5% of fastest runs?