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# Descriptive Statistics and Probability Exercises

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A survey conducted by the Northwestern University Lindquist-Endicot Report asked 320 companies about the procedures they use in hiring. Only 54 %% of the responding
companies review the applicant's college transcript as part of the hiring process, and only 44% consider faculty references. Assume that these percentages are true for the
population of the companies in the United States and that 35% of all companies use both the applicant's college transcript and faculty references.

a. What is the probability that a randomly selected company uses either faculty references or college transcript as part of the hiring process?

b. What is the probability that a randomly selected company uses either raculty references or college transcript but not both as part of the hiring process?

c. What is the probability that a randomly selected company uses neither faculty references nor college transcript as part of the hiring process?

d. Construct a joint probability table for this problem and indicate the locations of your answers for parts (a), (b), and (c) on the table.

https://brainmass.com/statistics/descriptive-statistics/descriptive-statistics-probability-exercises-501859

#### Solution Preview

Please see the excel sheet for the formulas.

The first set of problems requires us to know how to calculate the mean, median, mode and variance of a set of data. Excel has formulas for all of these functions.
An excellent resource for more information on these statistics can be found at:
http://www.ltcconline.net/greenl/courses/201/descstat/mean.htm

The second sheet adds values about the data's range, which is simply the largest observation minus the smallest observation. More info can be found at:
http://www.mathgoodies.com/lessons/vol8/range.html
The interquartile range is more descriptive. It breaks the data ...

#### Solution Summary

Descriptive statistics and probability exercises are examined. A joint probability table is examined.

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