Find the indicated probability. Round to three decimal places.
-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. 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.
A) 0.053
B) 0.073
C) 0.020
D) 0.046

Question

Quizplus · Accepted Answer

The probability can be calculated using the binomial probability formula. The probability of 3 or fewer adults reporting excellent health is the sum of probabilities for 0, 1, 2, and 3 adults reporting excellent health. Using the binomial distribution with n=14 and p=0.44, the cumulative probability for 3 or fewer is approximately 0.073.

Find the Indicated Probability