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STAT 507 Lecture 11: Oct 4

Canada

Introduction to Stochastic Processes

Statistics

Anatoliy Swishchuk

University of Calgary

Theory of Interest/Mathematics of Finance

Linear Methods I

<p>The data represent the number of customers waiting for a table at 7 pm for 40 consecutive Saturdays.</p>
<p>9,9,8,9,4,9,11,6,</p>
<p>13,10,6,8,4,7,5,10,</p>
<p>10,11,8,3,6,7,6,10,</p>
<p>13,11,12,6,10,7,9,10,</p>
<p>9,9,8,9,4,9,11,6.</p>
<p>Fill this table for absolute and relative frequencies.</p>
<table style="border-collapse: collapse; width: 100%; height: 102px;" border="1">
<tbody>
<tr style="height: 17px;">
<td style="width: 50%; height: 17px;">Number of customers</td>
<td style="width: 50%; height: 17px;">Frequency</td>
</tr>
<tr style="height: 17px;">
<td style="width: 50%; height: 17px;">1-3</td>
<td style="width: 50%; height: 17px;"> </td>
</tr>
<tr style="height: 17px;">
<td style="width: 50%; height: 17px;">4-6</td>
<td style="width: 50%; height: 17px;"> </td>
</tr>
<tr style="height: 17px;">
<td style="width: 50%; height: 17px;">7-9</td>
<td style="width: 50%; height: 17px;"> </td>
</tr>
<tr style="height: 17px;">
<td style="width: 50%; height: 17px;">10-12</td>
<td style="width: 50%; height: 17px;"> </td>
</tr>
<tr style="height: 17px;">
<td style="width: 50%; height: 17px;">13-15</td>
<td style="width: 50%; height: 17px;"> </td>
</tr>
</tbody>
</table>

<h5>A single die is rolled twice. The set of 36 equally likely outcomes is?</h5>
<div>
<div>
<p>{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is greater than 10.</p>
<p> </p>
<p>a. 5/18</p>
<p> </p>
<p>b. 1/12</p>
<p> </p>
<p>c. 1/18</p>
<p> </p>
<p>d. 3</p>
</div>
</div>
<p> </p>

<p>4. The rank or 4. The rank of 13 2 3 11 1 3 il 1 2 -11. 3 3 -1 -1 0 2 ) (A) 1 (B) 2 4 (E) None of the above</p>

STAT 507 Lecture 11: Oct 4

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A single die is rolled twice. The set of 36 equally likely outcomes is?

Number of customers	Frequency
1-3
4-6
7-9
10-12
13-15