8. (12 points) (a) A man measures his pulse rate to be 47.7 beats per minute. The mean adult male pulse rate is 67.3 beats per minute with a standard deviation of 10.3 beats per minute. A woman measures her pulse rate to be 107.5 beats per minute. The mean adult female pulse rate is 77.5 beats per minute with a standard deviation of 11.6 beats per minute. Using z scores to explain, whose pulse rate is more unusual? Show your work. (b) For females, what pulse rate is two standard deviations above the mean? Show your work