An article in the Journal of Cardiovascular Magnetic Resonance [Right Ventricular Ejection Fraction is Better Reflected by Transverse rather than Longitudinal Wall Motions in Pulmonary Hypertension] discussed a study of the regional right ventricle transverse wall motion in patients with pulmonary hypertension (PH). The right ventricle ejection fraction (EF) was approximately normally distributed with a mean and a standard deviation of 36 and 12, respectively, for PH subjects, and with a mean and standard deviation of 56 and 8, respectively, for control subjects.
a). What is the EF for PH subjects exceeded with 5% probability?
b). What is the probability that the EF of a control subject is less than the value in part a?
c). Comment on how well the control and PH subjects can be distinguished by EF measurements.