Answer:
The probability that none will have high blood pressure is 0.0281
Step-by-step explanation:
The correct question is as follows;
Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure
This is a binomial problem. We shall solve in that line
The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2
The probability of failure q is thus 1-p = 1-0.2 = 0.8
The probability of none is thus;
P(X= 0) = 16C0 p^0 q^16
= 16C0 * 0.2^0 * 0.8^16 = 0.0281