Question 1204065
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An oil company estimates that only 1 well in 25 will yield commercial quantities of oil. 
Assume that successful drilled wells represent independent events. 
If 5 wells are drilled, find the probability of obtaining a commercially successful well 
for the following number of times. (Round your answer to six decimal places.)
exactly 2
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<pre>
It is a typical binomial distribution probability problem.


The number of trials is n= 5.
The probability of each individual trial success is p= {{{1/25}}} = 0.04.
The number of successful trials is 2 of 25.


Use the standard formula for probability

    P = {{{C[25]^2*p^2*(1-p)^(25-2)}}} = {{{300*0.04^2*0.96^23}}} = 0.187707   (rounded).    <U>ANSWER</U>
</pre>

Solved.


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To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 

in this site.


Learn the entire subject from there.



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In this problem, the most unusual feature is the instruction to round to 6 decimal places.


A normal engineer, with healthy mind, would say that they lost their common sense.