What are the expected frequencies for the conditions below?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A researcher is interested in the relationship between birth order and personality.  A sample of n=90 people is obtained, all of whom grew up in families as one of three children.  Each person is given a personality test, and the researcher also records the person's birth order position (1st born, 2nd, or 3rd).  The frequencies from this study are shown in the following table. 

Birth Position

  1st 2nd

3rd

Outgoing 14 31

20

Reserved 18 19 6

What are the expected frequencies for the conditions below?

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