Consider the regional right ventricle transverse wall motion in patients with pulmonary hypertension (PH). The right ventricle ejection fraction (EF) is approximately normally distributed with standard deviation of 12 for PH subjects, and with mean and standard deviation of 56 and 8, respectively, for control subjects.

(a) What is the EF for control subjects exceeded with 99% probability?

(b) What is the mean for PH subjects such that the probability is 1% that the EF of a PH subject is greater than the value in part (a)?

(c) Comment on how well the control and PH subjects [with the mean determined in part (b)] can be distinguished by EF measurements.