Question

In a study, 44% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Find the probability that when 14 adults are randomly selected, more than 3 are in excellent health. Round your answer to nearest ten-thousandth.

Answer 1

p=0.44

n=14

x=3

n P(X = 1) = p" (1 – p)-2

$P(X=x)=\binom{14}{3}0.44^x(1-0.44)^{14-x}$

To find

P(X>3)

P(X > 3) = 1 – P(X < 3) = 1 – Σ(!)ο.44*α 0.44* (1 – 0.44)14-1 = 1. 0.073 = 0.927

So probability that when 14 adults are randomly selected, more than 3 are in excellent health is 0.927