According to the National Health Statistics Report Number 122, December 20, 2018

(Fryar, 2018), the estimated mean body mass index (BMI) of an adult female in the United States is 29.6. Suppose the distribution of BMI values for adult females in the US is normally distributed with mean BMI ???? = 30 with standard deviation of ???? = 4. Determine the

(a) probability that an adult female in the US has BMI less than 25.

(b) probability that an adult female in the US has BMI more than 36.

(c) probability that an adult female in the US has BMI between 26 and 32.

(d) 10th percentile of the BMI values of adult females in the US.