Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 17, Problem 12E
To determine

To find: The expected number of tests before a bad one is detected.

Expert Solution & Answer
Check Mark

Answer to Problem 12E

50

Explanation of Solution

Given:

Geometric model.

Success = good chip, p=0.98 .

Failure = bad chip, q=0.02 .

Formula used:

  E(X)=1p

Calculation:

Suppose X = Number of good chips until the first bad chip is being checked.

Therefore, X is geom. (0.02)

  E(X)=1p=10.02=50

The number of chips checked before a bad one has been detected is estimated to be 50.

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