The height of football players is normally distributed with a mean of 74 inches and standard deviation of I inch. If there are 50 football players on the team how many are more than 73 inches tall

Answer: 42 players are more than 73 inches tall

Step-by-step explanation:

Since the height of football players is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ) / σ

Where

x = height of football players.

µ = mean height

σ = standard deviation

n = number of sample

From the information given,

µ = 74 inches

σ = 1 inch

The probability that the height of a player is more than 73 inches tall is expressed as

P (x > 73) = 1 - P (x ≤ 73)

For x = 73

z = (73 - 74) / 1 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.16

P (x > 73) = 1 - 0.16 = 0.84

Therefore, the number of football players in the team whose height is more than 73 inches is

50 * 0.84 = 42