Solution Found!
An oil prospector will drill a succession of holes in a
Chapter 3, Problem 70E(choose chapter or problem)
An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2.
a What is the probability that the third hole drilled is the first to yield a productive well?
b If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?
Questions & Answers
(1 Reviews)
QUESTION:
An oil prospector will drill a succession of holes in a given area to find a productive well. The probability that he is successful on a given trial is .2.
a What is the probability that the third hole drilled is the first to yield a productive well?
b If the prospector can afford to drill at most ten wells, what is the probability that he will fail to find a productive well?
ANSWER:Step 1 of 2
a) We have to find the probability that the third hole drilled is the first to give productive well
The probability of successful well is p = 0.2
Then q = 1 - p
= 1 - 0.2
= 0.8
The pmf of geometric distribution is \(P(X)=q^{x-1} p\)
Now
\(\begin{aligned}
P(3) & =(0.8)^{3-1}(0.2) \\
& =0.128
\end{aligned}\)
Hence the probability that the third hole drilled is the first to give productive well is 0.128
Reviews
Review this written solution for 31519) viewed: 741 isbn: 9780495110811 | Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 70e
Thank you for your recent purchase on StudySoup. We invite you to provide a review below, and help us create a better product.
No thanks, I don't want to help other students