At the State Fair the Rifle Range Offers 4 Different $~~~~~~~~~~~~$

question 16

Essay

At the State Fair the rifle range offers 4 different hats as prizes for perfect scores, one
hat for each of the State University campuses. The hats are in boxes. When someone
gets a perfect score, a box is chosen at random and given to that person. No
substitutions are allowed. A local football fan (an ace shot who never misses) wishes
to collect all 4 hat designs. There are a very large number of hats on hand and there
are equal numbers of each hat design, so each design has a probability of 0.25 of
being the prize at any given time. You are to design a simulation that could be used
to estimate the average number of perfect scores needed to get a complete the set of
hats.
a) To simulate this strategy, assign digits to the hat designs that will result in the
probability of selection of each design being 0.25. Hat 1 Digits: $~~~~~~~~~~~~$ Hat 2 Digits:
Hat 3 Digits: $~~~~~~~~~~~~$ Hat 4 Digits: b) Describe how you would use a random digit table to conduct one run of your
simulation. Hint: one run continues until a complete set of the 4 hats is acquired.
c) Using the following lines from a random number table, demonstrate how your
assignment of digits in part (a) would be used to carry out one run of the
simulation. (You may mark above the digits to help explain your procedure.) $$\begin{array} { l l l l l l l l l l l } 61790 & 55300 & 05756 & 72765 & 96409 & 12531 & 35013 & 82853 & 73676 & 57890 & 99400\\37754&42648&82425&36290&45467&71709&77558&00095&82363&29485&82226\\\end{array}$$ d) Suppose that the rifle range manager decides to order different numbers of hats,
consistent with the popularity of each campus's football team. Hat 1 will be put
in 50% of the boxes, Hats 2 and 3 will each be put in 20% of the boxes, and Hat 4
will be put in 10% of the boxes. Assign digits to the hats in a way that will be
consistent with these probabilities. Hat 1 Digits:            Hat 2 Digits:
Hat 3 Digits:            Hat 4 Digits: e) Perform three runs, and use your results to estimate the probability that it would
take more than 10 boxes to complete the set of 4 hats. (You may mark above the
digits to help explain your procedure.) 19223 95734 05756 28713 96409 12531 42544 82853 73676 47150 99400

37754 42648 82425 36290 45467 71709 77558 00095 32863 29485 82226

68417 35013 15529 72765 85089 57067 50211 47487 82739 57890 20807

81676 55300 94383 14893 60940 72024 17868 24943 61790 90656 87964

Understand the concepts and significance of superordinate goals in conflict resolution.

Recognize the role of social psychologists and their study on human thoughts, feelings, and behaviors.

Identify the effects of stereotypes, prejudices, and mirror-image perceptions on group dynamics.

Analyze the influence of shared crises and threats on intergroup relations and prejudice.

---

Definitions:

Operating Activities

Refers to the primary day-to-day activities of a business that relate to providing its goods or services, which are reflected in its earnings.

Indirect Method

A technique in financial accounting to prepare the cash flow statement, whereby net income is adjusted for non-cash transactions and changes in working capital.

Sale Of Investments

The process of liquidating investments such as stocks, bonds, or real estate, often to generate cash.

Statement Of Cash Flows

A financial report summarizing the total cash inflows from a company's operational activities and outside investments, alongside the cash outflows for paying off its business operations and investments within a specific timeframe.