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
