In a study, 43% of adults questioned reported that their health was excellent. A

Question

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.

A) Find the probability that a randomly selected person reported their health was not excellent.

B) Find the probability two people in a row would report their health in not excellent.

C) Find the probaility of exactly 3 out of 10 reported their helth was excellent.

D)Find the probability that when 10 adults are randomly selected, 3 or fewer are in excellent health.

Explanation / Answer

P(excellent health), p = 0.43

a) P(not excellent health) = 1 - 0.43 = 0.57

b) P(two people in a row would report their health in not excellent) = P(not excellent health) * P(not excellent health)

                                                                                            = 0.57 * 0.57

                                                                                            = 0.3249

c) n = 10

P(X = 3) = 10C3 * 0.433 * (1 - 0.43)10-3

              = 0.1865

d) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

                  = 10C0 * 0.430 * 0.5710 + 10C1 * 0.431 * 0.579 + 10C2 * 0.432 * 0.578 + 10C3 * 0.433 * 0.577

                  = 0.3102

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