A Survey conducted by the Harris polling organnizationdiscovered that 63 percent

Question

A Survey conducted by the Harris polling organnizationdiscovered that 63 percent of all americans are overweight. Supposenumber of randonly selected Americans are wieghed. a) Find probability that 18 or more of the 30 students in aparticular adult Sunday School class are over weight. B) How many Americans would you expect to weigh before youencounter the first overweight individual? c) What is the probability that it takes more than 5 attemptsbefore an overweight person is found? A Survey conducted by the Harris polling organnizationdiscovered that 63 percent of all americans are overweight. Supposenumber of randonly selected Americans are wieghed. a) Find probability that 18 or more of the 30 students in aparticular adult Sunday School class are over weight. B) How many Americans would you expect to weigh before youencounter the first overweight individual? c) What is the probability that it takes more than 5 attemptsbefore an overweight person is found?

Explanation / Answer

Let X be the people who overweight X~Binomial (n = 30, p = 0.63) Use a binomial calculator to compute the answer (manual calculationis tedious) a) P(X>=18) = P(X = 18) + P(X = 19)+.....P(X = 30) = 0.7055 b) 30 x 0.63 = 18.9 (19 person) c) Probability = 1 - (0.37)5 = 0.993 Hope this helps!

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