Men’s heights are normally distributed with a mean of 72.1 inches and a standard deviation of 3.6 inches. A social organization for short people has a requirement that men must be at most 64 inches tall. What percentage of men meet this requirement? Choose the correct

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)

*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%.

77

step-by-step explanation:

the first option is the answer.