Answer:
There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds
Step-by-step explanation:
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 180, σ = 8.
For x = 185:
z = (185 - 180)/8 = 0.625
For x = 190:
z = (190 - 180)/8 = 1.25
P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%
There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds
