Question

Let us assume that systolic blood pressure for a certain population is normally distributed with parameters (greek letter mu) = 125 and (greek letter sigma) =8(in units of mm Hg).

a.) What is the probability that any given person will have a systolic pressure above 130?

b.) What is the probability that a person will have a systolic pressure between 117 and 133?

c.) What is the median systolic pressure?

d.) What is the 80th percentile systolic pressure?

e.) Assuming patients are coming in for check-ups and there is no reason to expect them to have different blood pressures from the population at large. If you see exactly 30 patients per day, on average, how many will you see per day with systolic pressures above 130?

f.) If in a certain hour you see 8 patients, what is the probability that exactly 3 of them have systolic pressures somewhere between 117 and 133?

Answer 1