Calculate the finite population corrections(a) For

Chapter 3, Problem 152E

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QUESTION:

Consider the non-failed wells in Exercises 3-35. Assume that four wells are selected randomly (without replacement) for inspection.

(a) What is the probability that exactly two are selected from the Loch Raven Schist?

(b) What is the probability that one or more is selected from the Loch Raven Schist?

(c) What is the expected number selected from the Loch Raven Schist?

Questions & Answers

QUESTION:

Consider the non-failed wells in Exercises 3-35. Assume that four wells are selected randomly (without replacement) for inspection.

(a) What is the probability that exactly two are selected from the Loch Raven Schist?

(b) What is the probability that one or more is selected from the Loch Raven Schist?

(c) What is the expected number selected from the Loch Raven Schist?

ANSWER:

Solution

Step 1 of 4

a) Given that in the exercise (3-141)  N=100, n=4 and K=20

In the exercise (3-142)  N=20, n=4 and K=4

The binomial approximation is best for the sample when the population size is larger

The population size is large in exercise (3-141)

Hence the binomial approximation is best for (3-141)


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