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?

Algebra.Com
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(52877)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~

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) =  = 

         =  = 0.1474  (rounded).    ANSWER

Solved.

--------------------

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).



RELATED QUESTIONS

A report showed that 20% of the batteries produced in a factory were faulty. What is the... (answered by robertb)
A large flashlight is powered by 5 batteries. Suppose that the life of a battery is... (answered by Boreal,Theo)
A large flashlight is powered by 5 batteries. Suppose that the life of a battery is... (answered by Boreal)
Michael has a drawer containing lots of AA batteries. There are 6 Energizer batteries, 5... (answered by ewatrrr)
A manufacturer of batteries knows that 10% of the batteries produced by a particular... (answered by mathmate)
There are two defective batteries in one package of six batteries and three defective... (answered by Theo)
Can someone help? Thank you. AAA batteries are sold in pack of 10. An inspector... (answered by stanbon)
The median life of Brand LT5 batteries is 100 hours. What is the probability that in a... (answered by ikleyn)
In a group of 100 batteries, 30 are dead. If you choose two batteries, what is the... (answered by checkley77)