11.5.1: Independent Events (Exercises)
- Page ID
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SECTION 11.5 PROBLEM SET: INDEPENDENT EVENTS
The distribution of the number of fiction and non-fiction books checked out at a city's main library and at a smaller branch on a given day is as follows.
MAIN (M) | BRANCH (B) | TOTAL | |
FICTION (F) | 300 | 100 | 400 |
NON-FICTION (N) | 150 | 50 | 200 |
TOTALS | 450 | 150 | 600 |
Use this table to determine the following probabilities:
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4. Is the fact that a person checks out a fiction book independent of the main library? Use probabilities to justify your conclusion. |
For a two-child family, let the events \(E\), \(F\), and \(G\) be as follows.
\(E\): The family has at least one boy
\(F\): The family has children of both sexes
\(G\): The family's first born is a boy
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Do the following problems involving independence.
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For a three-child family, let the events \(E\), \(F\), and \(G\) be as follows.
\(E\): The family has at least one boy
\(F\): The family has children of both sexes
\(G\): The family's first born is a boy
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SECTION 11.5 PROBLEM SET: INDEPENDENT EVENTS
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