In a study, 4040% 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 1212 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 1212 adults are randomly selected, 3 or fewer are in excellent health. Round to three decimal places.

0.225 is the probability that 3 or fewer than 3 adults are in excellent health.

Step-by-step explanation:

We are given the following information:

We treat adult with excellent health as a success.

P(Adult with excellent health) = 40% = 0.4

Then the number of adults follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 12

We have to evaluate:

0.225 is the probability that 3 or fewer than 3 adults are in excellent health.

43

step-by-step explanation:

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