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
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 ...
Solution Summary
Set theory is used to solve for various probabilities. This is a well presented solution.
Probability and Set Theory (25 Questions ... 1) How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6 ...Use a Venn diagram to answer the question ...
... Since manufacturing runs are set to produce one of many ... calculate Binomial probabilities in Excel using the BINOM ... tolerance: In this case we use the cumulative ...
... There many practical uses of probability. ... whole concept of life insurance is also based on probability theory. The premiums are set on the basis on probability...
... The 16 data points were used to estimate a regression ... pts.) Draw the tree and solve this problem using the expected ...Use t he empirical rule (68-95-99.7) = (5 j ...
... The health officials could use confirmatory methods and statistical ... of equipment to those who used this model ... flawed as more patients die using this equipment ...
... three measures would have various uses as follows ... be facilitated through the use of forecasting ... www.ehow.com/about_6721879_linear-equations-used-business_.html ...
... I uses strategy 2 and player II uses strategy 1 ... is defined as a probability distribution on the set of the ... strategies, but player I is allowed to use only pure ...
... One simply has to get used to a more probabilistic world ... we cannot represent the pay-offs of the players using one matrix and we shall use two separate ...
... They can be used to track changes over time, in which case, time is on the x-axis. ... Use a z-distribution table or a calculator (I'm using a calculator) to ...
... that the letters I and O are not to be used. ...Using the basic rule of counting (multiplication rule), the number ... the set of even numbers E = the set of odd ...
