Question: (16 points) Assume that the resting heart rate in humans is normally distributed with \(\mu \) = 72 bpm (beats per minute) and \(\sigma \) = 8 bpm.

(a). What proportion of the population has resting heart, rates above 78 bpm? Above 68 bpm?

(b) What proportion of the population has resting heart rates below 74 bpm? Below 64 bpm?

(c) What proportion of the population has resting heart rates between 62 and 76 bpm?

(d) An aerobics instructor thinks that his class has an unusually low resting heart rate. His class of 16 students has a Meal), heart rate (X) of 68 limn. What is the z score for the class mean? What is the probability that a randomly selected group of 16 people would have a mean resting heart rate lower than the Mfft11 of this class?