Discussion:
Q: Among females in the United States between 18 and 74 years of age, diastolic blood pressure (DBP) is normally distributed with mean μ= 76 mm Hg and standard deviation σ= 10.2 mm Hg.
a) What is the probability that a randomly selected woman has a DBP less than 65 mm Hg?
b) What is the probability that she has a DBP greater than 95 mm Hg?
c) What is the probability that the woman has a DBP between 65 and 95 mm Hg?
d) Assume you want to concentrate on the individuals with low DBP, but you do not have the explicit definition of the cutoff value for low DBP. You decide to look at the people with lowest DBP that constitute 3.51% of the population. What cutoff value of DBP would split off or demarcate the lowest-DBP 3.51% of the population?