SOLUTION: Topic : Discrete Random Variable (Geometric Distribution) In a particular country, 18% of adults wear contact lenses. Adults are randomly selected and interviewed once at a time.

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Question 1203339: Topic : Discrete Random Variable (Geometric Distribution)
In a particular country, 18% of adults wear contact lenses. Adults are randomly selected and interviewed once at a time. Find the probability that the first adult who wears contact lenses is:
(a) One of the first 15 interviewed
(b) Not one of the first nine interviewed

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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Topic : Discrete Random Variable (Geometric Distribution)
In a particular country, 18% of adults wear contact lenses.
Adults are randomly selected and interviewed once at a time.
Find the probability that the first adult who wears contact lenses is:
(a) One of the first 15 interviewed
(b) Not one of the first nine interviewed
~~~~~~~~~~~~~~~~~~~

(a) It is a typical binomial distribution probability.
    The number of trials is 15; the number of success is 1 (one);
    the probability of success at each individual trial is 0.18.


    You may use a standard probability formula

       P =  =  = 0.0925  (rounded).    ANSWER



(b) The  ANSWER  is P =  =  = 0.1676  (rounded).   

Solved.



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