Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database, an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24, find the probability that the number of people in the sample who have been told that they have hypertension will be:

(a) Exactly three

(b) Fewer than three

(c) Three or more

(d) Between three and seven, inclusive

(e) How many adults who have been told that they have hypertension would you expect to find in a sample of 20?

(f) Suppose we select a simple random sample of five adults. Find the probability that, in the sample, the number of people who have been told that they have hypertension will be: 

i. Zero 

ii. Between one and three, inclusive 

iii. Five 

iv. More than one 

v. Two or fewer