In a study 43 of adults questioned reported that their healt

In a study, 43% 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 13 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health.

Solution

probability = 13C0 * .43⁰ * .57¹³ + 13C1 * .43¹ * .57¹² + 13C2 * .43² * .57¹¹ + 13C3 * .43³ * .57¹⁰

                 = 0.11933 (Ans)