1. The diastolic blood pressure (DSP) of males in the U.S. is normally distributed with a mean of 80 and a standard deviation of 11.2. A random male subject is selected.

a. Find the probability that his DBP is between 75 and 90.

b. Find the probability that his DBP is greater than 100.

c. Find the probability that his DBP is less than 70.

d. Find the 95% percentile of DSP's.

e. Between which two values do the middle 80% of DSP's fall?

2. In the state of Connecticut, it is known that 20% of people have type B blood. A sample of 25 people from Connecticut is taken. Let X be the random variable that count the number of people in the sample with type B blood.

a. Find the probability that at least 7 people in the sample have type B blood.

b. Find the probability that less than 5 people in the sample have type B blood.

c. Find the probability that between 3.5 and 8.5 people in the sample have type B blood. d. Find the expected value of X.

e. Find the standard deviation of X.