SOLUTION: 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,

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Question 1204065: 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

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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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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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%2F25 = 0.04.
The number of successful trials is 2 of 25.


Use the standard formula for probability

    P = C%5B25%5D%5E2%2Ap%5E2%2A%281-p%29%5E%2825-2%29 = 300%2A0.04%5E2%2A0.96%5E23 = 0.187707   (rounded).    ANSWER

Solved.

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