QUESTION 1 A. The birth weights of newborns follow a normal distribution with mean of 3.35 kg and standard deviation of 0.95 kg.

(i) What percentage of the population of newborn babies has weight above 4 kg?

(ii) The population is divided into 3 weight categories: Underweight, Regular and Overweight. 2% of the population are underweight while 4% of the population are overweight. Determine the range of values for the Regular weight category. (6m) (iii) Would a baby weighing 2.8 kg be considered as underweight? Justify your answer.

B. The systolic blood pressure (SBP) among those in the early 30's is distributed with a mean of 118 and standard deviation of 30 mm Hg

(i) Determine the mean and standard deviation of the sampling distribution.

(ii) If you randomly select 36 adults in their 30's, what is the probability that the mean for this sample is more than 120 mmHg?