Question

Based on previous studies it is estimated 1.33% of adult Americans believe they have been abducted...

Based on previous studies it is estimated 1.33% of adult Americans believe they have been abducted by Aliens. Penelope wants to interview one of these people. Assuming independence,

A. What is the average number of people she must interview to find one self-described abductee? Express your answer to two decimals.

B. What is the standard deviation of the number of people she must interview? Express your answer to two decimals. Express your answer as a number to two decimals.

C. What is the probability she will have to interview less than or equal to 72? Express your answer as a percentage to two decimals.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

A.

Let X be the number of people she must interview to find one self-described abductee.

Then X ~ Geometric(p = 1.33/100)

Average number of people she must interview to find one self-described abductee = 1/p

= 100/1.33

= 75.19

B.

Standard deviation of the number of people she must interview =

=

= 74.69

C.

Probability she will have to interview less than or equal to 72 = P(X 72)

(Using CDF of Geometric distribution)

= 0.6186

= 61.86%

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