Among females in the United States between 18 and 74 years of age, diastolic blood pressure is normally distributed with mean = 77 mm Hg and standard deviation = 11.6 mm Hg.

(a)What is the probability that a randomly selected woman has a diastolic blood pressure less than 60 mm Hg?

(b)What is the probability that she has a diastolic blood pressure greater than 90 mm Hg?

(c)What is the probability that she has a diastolic blood pressure between 60 and 90 mm Hg?

(d)Find the upper and lower bounds of diastolic blood pressure between which 90% of the women find their diastolic blood pressure values.