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An oil prospector will drill a succession of holes in a

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 70E Chapter 3

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 70E

Problem 70E

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?

Step-by-Step Solution:

Solution

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

Now

                  =0.128

Hence the probability that the third hole drilled is the first to give productive well is 0.128


Step 2 of 2

Chapter 3, Problem 70E is Solved
Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

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An oil prospector will drill a succession of holes in a