In: Statistics and Probability
Suppose body mass index (BMI) varies approximately to the normal distribution in a population of boys aged 2-20. A national survey analyzed the BMI for American adolescents in this age range and found the µ=20 and the σ=1.75.
A) What is the 25th percentile of this distribution?
B) What is the z-score corresponding to finding a boy with at least a BMI 18.25?
C) What is the probability of finding a boy with at least this BMI, 18.25?