If the systolic blood pressure for a certain group of obese people has a mean of 132 and a standard deviation of 8. answer the following questions. Assume the systolic pressures are normally distributed.

a. What is the probability that a randomly selected person will have a systolic pressure above 128?

b. What is the probability that a randomly selected person will have a systolic pressure between 130 and 142?

c. What is the value of systolic pressure such that only 2.5% of the group will register a systolic pressure that is higher?

d. If we take a sample of 100 people from this population, what is the probability that the group has an average systolic pressure above 128? Is this value larger, smaller, or the same as found in part (a) and why?