# Descriptive Statistics and Probability Exercises

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.

© BrainMass Inc. brainmass.com June 4, 2020, 3:10 am ad1c9bdddfhttps://brainmass.com/statistics/descriptive-statistics/descriptive-statistics-probability-exercises-501859

#### Solution Preview

Thanks for your question!

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.