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 7 adults randomly selected...

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 7 adults randomly selected from this area; (a) Contruct a proability distribution for the random variable x, the the number of persons who reported their health was excellent. [10 marks] (b) Find the probability that when 7 adults are randomly selected, 4 or fewer are in excellent health.