SOLUTION: In the warehouse, 3% of the batteries go out of order. What is the probability that exactly 5 out of 125 batteries will go out-of-line?

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Question 1198505: In the warehouse, 3% of the batteries go out of order. What is the probability that exactly 5 out of 125 batteries will go out-of-line?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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In the warehouse, 3% of the batteries go out of order.
What is the probability that exactly 5 out of 125 batteries will go out-of-line?
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It is a typical; binomial distribution probability problem.


The number of trials is 125;  the number of successful trials is 5; 
the probability of success for each single individual trial is p = 0.03.


     Use the formula to calculate the probability


         P(n=125, k=5, p= 0.03) = C%5B125%5D%5E5%2A0.03%5E5%2A%281-0.03%29%5E%28125-5%29 = 

         = %28%28125%2A124%2A123%2A122%2A121%29%2F%281%2A2%2A3%2A4%2A5%29%29%2A0.03%5E5%2A0.97%5E120 = 0.1474  (rounded).    ANSWER

Solved.

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If you want to see many similar  (or different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.

After reading these lessons,  you will be able to solve such problems on your own,
which is your  PRIMARY  MAJOR  GOAL  visiting this forum  (I believe).