The retirement age for NFL players follows a normal distribution with a mean of 33 years and a standard deviation of 2 years. A player gets injured and decided to retire at 28 years old. Approximately what percentage of NFL players retire at a younger age?
A) 0.62% B) 6.68% C) 13.35% D) 15.15% E) 19,77%
What age would an NFL player be if his retirement age was in the top 10% for all players? In other words, what age would he be if he played longer than 90% of all players?
A) 30.44 years old B) 31.2 years old C) 34.8 years old D) 35.56 years old E) 36.29 years old.

The retirement age for NFL players follows a normal distribution with a mean of 33 years and a standard deviation of 2 years. A player gets injured and decided to retire at 28 years old.

percentage of NFL players retire at a younger age is :

P ( X < 28 ) = P ( x - μ / σ < 28 - 33 / 2 )

= P ( z < -5 / 2 )

= P ( z < -2.5 )

we know that at z score using calculator we can know the probability :

= 0.0062

= 0.0062 * 100%

= 0.62%

The age would he be if he played longer than 90% of all players is B ) 34.8 years old .

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