Question: The Pediatric Task Force Report on Blood Pressure Control in Children reports blood-pressure norms for children by age and sex group. The mean diastolic blood pressure for 17-year-old boys is 68.5 mm Hg with a standard deviation of 11.1 mm Hg based on a large sample.

(a) If we assume that the distribution of blood pressure for 17-year-old boys is normally distributed, what is the probability that a boy will have a diastolic blood pressure of greater than 78 mm Hg?

(b) What is the probability that a boy will have a diastolic blood pressure between 57.0 mm Hg and 78.2 mm Hg.