SOLUTION: A recent study found that 40% of all people over age of 62 wear hearing aids. If a random sample of 5 people over 62 is selected, find the probability of exactly two people wear h

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Question 1174019: A recent study found that 40% of all people over age of 62 wear hearing aids. If a random sample of 5 people over 62 is selected, find the probability of exactly two people wear hearing aids. (please round off into 3 decimal places).
Answer by ikleyn(52914) About Me  (Show Source):
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A recent study found that 40% of all people over age of 62 wear hearing aids. If a random sample of 5 people over 62 is selected,
find the probability that exactly two people wear hearing aids. (please round off into 3 decimal places).
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It is the binomial type probability distribution.


The number of trial n= 5; the probability of the success trial is  40% = 0.4,  and the number of success trial is  k = 2. 


    P(2) = C%5B5%5D%5E2%2A0.4%5E2%2A%281-0.4%29%5E3 = 10%2A0.4%5E2%2A0.6%5E3 = 0.346.      ANSWER

Solved.

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To see many other similar solved problems, look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
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