Every corporation has a governing board of directors.The

Chapter 1, Problem 18

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Every corporation has a governing board of directors.The number of individuals on a board varies from onecorporation to another. One of the authors of the articleDoes Optimal Corporate Board Size Exist? AnEmpirical Analysis (J. of Applied Finance, 2010:5769) provided the accompanying data on the numberof directors on each board in a random sample of 204corporations.No. directors: 4 5 6 7 8 9Frequency: 3 12 13 25 24 42No. directors: 10 11 12 13 14 15Frequency: 23 19 16 11 5 4No. directors: 16 17 21 24 32Frequency: 1 3 1 1 1a. Construct a histogram of the data based on relativefrequencies and comment on any interestingfeatures.b. Construct a frequency distribution in which thelast row includes all boards with at least 18 directors.If this distribution had appeared in the citedarticle, would you be able to draw a histogram?Explain.c. What proportion of these corporations have at most10 directors?d. What proportion of these corporations have morethan 15 directors?

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