Answer: the probability that the person is between 65 and 69 inches is 0.54
Step-by-step explanation:
Since the height for Asian adult males is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = height for Asian adult males.
µ = mean height
σ = standard deviation
From the information given,
µ = 66 inches
σ = 2.5 inches
We want to find the probability that the person is between 65 and 69 inches. It is expressed as
P(65 ≤ x ≤ 69)
For x = 65
z = (65 - 66)/2.5 = - 0.4
Looking at the normal distribution table, the probability corresponding to the z score is 0.34
For x = 69
z = (69 - 66)/2.5 = 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.88
Therefore,
P(65 ≤ x ≤ 69) = 0.88 - 0.34 = 0.54
