Answer :
Answer:
The percentage of men meet the social organization for short people's requirement is 0.842%.
Step-by-step explanation:
The random variable X can be defined as the height of men.
The random variable X is normally distributed with mean, μ = 72.1 inches and standard deviation, σ = 3.6 inches.
It is provided that a social organization for short people has a requirement that men must be at most 64 inches tall.
Compute the value of P (X ≤ 64) as follows:
Apply continuity correction:
P (X ≤ 64) = P (X < 64 - 0.50)
= P (X < 63.50)
[tex]=P(\frac{X-\mu}{\sigma}<\frac{63.5-72.1}{3.6})[/tex]
[tex]=P(Z<-2.39)\\=0.00842[/tex]
*Use a z-table for the probability.
The percentage is, 0.00842 × 100 = 0.842%.
Thus, the percentage of men meet the social organization for short people's requirement is 0.842%.
