Question: Q4: Among men in Iceland between the ages of 40 and 75, diastolic blood pressure is normally distributed with mean 82mmHg and standard deviation 14.5 mmHg

Calculate the probability that a randomly chosen man has diastolic blood pressure between 84mmHg and 87mmHg.

In a survey a group of 50 randomly chosen men aged between 40 and 80, had their diastolic blood pressure measured. What is the distribution of the mean diastolic blood pressure of the sample?

Find the probability that the mean diastolic blood pressure in a random sample of 50 men aged between 40 and 80, is less than 81.7

How large a sample of women would be required in order that the probability of the sample mean being less than 81.7 is reduced to 0.1?