Using set theory to solve for the probability
Not what you're looking for?
A survey of a group of military personnel revealed the following information:
95 officers
90 minorities
90 women
40 women officers
38 minority women
40 minority officers
23 women minority officers
16 caucasian male enlisted personnel
How many personnel were:
a. interviewed
b. enlisted minority women
c. male minority officers
d. enlisted
e. officers, but not women or minority
f. enlisted women
g. minority women, but not officers
Purchase this Solution
Solution Summary
Set theory is used to solve for various probabilities. This is a well presented solution.
Solution Preview
We use set theory to solve the problem.
Suppose P is the set of all personnel interviewed. M is the set of all males. W is the set of all women. O is the set of all officers. N is the set of all minorities.
From the condition, we have:
95 officers, this means |O|=95
90 minorities, this means |N|=90
90 women, this means |W|=90
40 women officers, this means |W and O|=40
38 ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.