The probability of none will have high blood pressure if twenty percent of Americans age 25 to 74 have blood pressure. If 16 randomly selected Americans age 25 to 74 are selected

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