Answer:
16%
Step-by-step explanation:
First, calculate the z-score.
z = (x − μ) / σ
where x is the value,
μ is the mean,
and σ is the standard deviation.
z = (12.5 − 11) / 1.5
z = 1
What this means is that 12.5 is 1 standard deviation above the mean.
According to the empirical rule, 68% of a normal distribution is between -1 and +1 standard deviations. That means 32% is outside of that range. Since normal distributions are symmetrical, we can say that 16% is less than -1 standard deviations, and 16% is greater than +1 standard deviations.
Therefore, the probability that a man's shoe is greater than or equal to 12.5 (greater than +1 standard deviations) is 16%.
