In a​ study, 45% 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. Among 14 adults randomly...

In a​ study, 45% 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. Among 14 adults randomly selected from this​ area, only 3 reported that their health was excellent. Find the probability that when 14 adults are randomly​ selected, 3 or fewer are in excellent health. Round to three decimal places.