Statistics for Decision- Making in Business - Maricopa Community ...
Statistics for Decision- Making in Business - Maricopa Community ...
Statistics for Decision- Making in Business - Maricopa Community ...
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e.<br />
2. Your classmate was absent when permutations and comb<strong>in</strong>ations. Expla<strong>in</strong> when he<br />
should and when he should not use permutations and comb<strong>in</strong>ations. (Video<br />
Solution)<br />
3. A police officer has been brought be<strong>for</strong>e the court on accusations of racial profil<strong>in</strong>g.<br />
This occurs when a person of a particular race has been pulled over or deta<strong>in</strong>ed by<br />
the police due to his race. The officer stopped 2 vehicles out of 10 that passed by<br />
through a freeway tollbooth. Both of the suspects were Asian and there were a total<br />
of 3 Asian drivers <strong>in</strong> the 10. (Video Solution)<br />
a. In how many ways could 2 drivers have been selected from the 10<br />
b. In how many ways could 2 Asian drivers have been selected from the 3<br />
c. How likely is it that the 2 selected drivers would both have been Asian if the<br />
stops were truly random<br />
4. In the United States, 20 out of the 50 states spend more than 50% of their state park<br />
and recreation areas revenue on keep<strong>in</strong>g the state park operable (SOURCE: 2012<br />
U.S. Statistical Abstract). Suppose a survey of 10 states is to be conducted next year<br />
to see if anyth<strong>in</strong>g has changed. (Video Solution)<br />
a. In how many ways can 10 states be selected <strong>for</strong> the survey<br />
b. In how many ways can 10 states be drawn so that all 10 are operat<strong>in</strong>g on<br />
more than 50% of their state park and recreation areas revenue<br />
c. What is the probability that all 10 of the states drawn are operat<strong>in</strong>g on more<br />
than 50% of their state park and recreation areas revenue<br />
5. Ten pieces of furniture are to be arranged <strong>in</strong> a long row <strong>in</strong> a furniture store. In how<br />
many ways can all 10 be arranged (Video Solution)<br />
6. At Chandler-Gilbert <strong>Community</strong> College high-school math competitions, students<br />
enter <strong>in</strong>to a raffle to w<strong>in</strong> various prizes, <strong>in</strong>clud<strong>in</strong>g a graph<strong>in</strong>g calculator. There are<br />
typically around 200 students. Suppose there are 5 different types of calculators to<br />
be given out and that the best is saved <strong>for</strong> last. (Video Solution)<br />
a. In how many ways can the prizes be distributed among the 200 students<br />
b. Suppose a school has 5 attendees. In how many ways can all 5 students from<br />
this school w<strong>in</strong> a calculator<br />
c. What is the probability that all 5 students from this school w<strong>in</strong>s a calculator<br />
7. A frequent concern of cautious consumers is the idea of the last four digits of a credit<br />
card number be<strong>in</strong>g displayed on receipts. Suppose a consumer has a Visa, which has a<br />
total of 16-digits, each of which can be between 0 and 9. For the sake of simplicity,<br />
suppose any comb<strong>in</strong>ation is possible. A customer left the follow<strong>in</strong>g receipt ly<strong>in</strong>g around<br />
and is now concerned about his identity: (Video Solution)<br />
<strong>Statistics</strong> <strong>for</strong> <strong>Decision</strong>-<strong>Mak<strong>in</strong>g</strong> <strong>in</strong> Bus<strong>in</strong>ess © Milos Podmanik Page 133