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### M111_Assignment03_fall_2007

Course: MATH 111, Fall 2009
School: UMBC
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Word Count: 1222

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College Okanagan Math 111 (71) Fall 2007 Assignment Three Instructor: Clint Lee Due: Tuesday December 11 Instructions. Do all parts of all 8 questions. Show all significant steps in your work. You will not receive any marks for just an answer, even if it is correct. Use complete English language sentences to answer questions where a written answer or explanation is required. The number of points for each question...

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College Okanagan Math 111 (71) Fall 2007 Assignment Three Instructor: Clint Lee Due: Tuesday December 11 Instructions. Do all parts of all 8 questions. Show all significant steps in your work. You will not receive any marks for just an answer, even if it is correct. Use complete English language sentences to answer questions where a written answer or explanation is required. The number of points for each question is given in the left margin, total 60. The questions in this assignment consist of all of the questions on Term Test Two plus additional questions. The questions that appeared on Term Test Three are labelled with a number in square brackets, giving the corresponding number of the question on the test. 1. [2] [2] [3] You are to create a secret four-digit code for your ATM card using the digits 0 to 9. (a) [1a] How many different codes can be made if digits can repeat? (b) [1b] If you are only allowed to use a digit once, how many different codes can be made? (c) If the product of the digits in the number must be even, how many different codes can be made? 2. [1] [2] [3] A college student plans to select courses from among four possible foreign language courses, seven possible mathematics courses, and five possible economics courses. (a) In how many ways can the student select three courses, one of each type? (b) In how many ways can the student select five courses made up of two of the foreign language courses, two of the economics courses and one of the mathematics courses? (c) In how many ways can the student select six courses made up of two or three of the foreign language courses, one of the mathematics courses, and the rest from the economics courses. 3. [2] [3] [3] There are five married couples (assume they are heterosexual) at a party. (a) [2a] How many ways are there to choose and arrange five of the people who are to be seated in a row as part of a party game? (b) [2b] For another party game six people are chosen with an equal number of men and women. How many ways are there of choosing this group of six people? (c) [2c] When all of the people at the party are seated for dinner a toast is proposed and everyone touches their glass with every other person at the table except their spouse. How many glass touches take place? Math 111 (71) Fall 2007 Assignment Three Page 2 4. 0 [2] [3] [3] (a) [3a] List the sample space for this experiment as a set of ordered pairs of numbers, (s, d), where s is the number on the spinner and d is the number on the die. (b) [3b] Give the probability distribution for this experiment by assigning a probability to each of the outcomes. (c) [3b] Let E be the event that the sum of the numbers on the spinner and the die is odd, and let F be the event that the number on the spinner is zero. Describe events E and F by listing the outcomes in each event, and find Pr( E) and Pr( F ). (d) For the events E and F defined in part (c) express probability below in terms of E and F and find the probability: the number on the spinner is Pr zero or the sum of the numbers on the spinner and the die is even [3] 5. [3] [1] [2] Let A, B, and C be three events for which Pr( A) = 0.4, Pr( B) = 0.6, and Pr(C ) = 0.5. Further, events A and B are independent, event B and C are independent, and events A and C are mutually exclusive. (a) [4a] Determine the values of Pr ( A B), Pr ( B C ), and Pr ( A C ). (b) [4b] Explain why must it be true that Pr ( A B C ) = 0. (c) [4c] Determine the values of Pr ( A B C ) and Pr ( A B C ). You may find it helpful to use the three circle Venn diagram shown. A B C 6. [2] [3] [1] A lot of 20 Pentium V processors contains 4 defective processors. A sample of 4 processors is chosen at random and without replacement from the lot. Find the probability that: (a) [5a] All of the processors in the sample are non-defective. (b) [5b] At least 3 of the processors in the sample are non-defective. (c) [5c] At least one of the processors is defective. An experiment consists of spinning the spinner shown, in which getting a two is twice as likely as getting a zero or a one, and then rolling a single six-sided die with a one on three faces, a two on two faces, and a three on one face, so that it is three times as likely to get a one as it is to get a three and twice as likely to get a two as it is to get a three. 2 1 Math 111 (71) Fall 2007 Assignment Three Page 3 7. A sample of dog owners shows that 25% of dog owners with one dog have visited a veterinarian in the last year, 40% of dog owners with two dogs have visited a veterinarian in the last year, and 60% of dog owners with more than two dogs have visited a veterinarian in the last year. Further, it is known that 70% of dog owners own just one dog, 20% own two dogs, and 10% own more than two dogs. (a) [6a] Define appropriate events for this problem and fill in whichever of the tree diagrams below which is appropriate for this problem. Put all probability values that you are given or can calculate on the diagram. [4] [2] [2] (b) [6b] A dog owner is selected at random. Find the probability that the person selected has visited a veterinarian in the last year. (c) [6c] A dog owner is selected at random. If the person selected has visited a veterinarian in the last year, find the probability that the person owns no more than two dogs. 8. A survey of 500 employees in the IT industry is conducted to determine the relation between the marital statu...

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Okanagan College Math 111(71), Fall 2000 Term Test Three SolutionsInstructor: Clint Lee 001129 Student Name: Total Marks:40Instructions. Do all parts of all 5 questions. Show all work and give explanations where required. You may receive part m
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E field plot three charges q_1 1.00E-06 x_1 q_2 -1.00E-06 x_2 q3 0.00E+00 x 3 delta_r x 0.02 0.04 0.06 0.08 0.1 0.12 0.15 0.17 0.19 0.21 0.23 0.25 0.28 0.3 0.32 0.34 0.37 0.39 0.42 0.44 0.47 0.49 0.52 0.54 0.57 0.6 0.63 0.66 0.68 0.71 0.74 0.78 0.81
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Specs for Exam 1, PH 316, Fall 2006 Be able to derive Ucap = Q2/(2C) [ requires C = q/V, V = work/charge ] know that E = - grad V and that for static E curl E = 0. Know, derive, and be able to apply the boundary conditions on V, E| and EBe able to
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Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 199.955 107.913 -73.390 42.589 -70.954 42.482 2.296 -72.172 42.536 67.669 -60.000 191.190 103.183 -73.371 42.3
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 198.858 107.321 -73.317 42.832 -71.027 42.240 11.517 -72.172 42.536 67.669 -60.000 189.528 102.286 -73.427 42.577 -71.357 41
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 199.871 107.868 -73.385 42.627 -70.959 42.444 3.883 -72.172 42.536 67.669 -60.000 192.080 103.663 -73.508 42.1
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 199.374 107.600 -73.355 42.744 -70.989 42.327 8.531 -72.172 42.536 67.669 -60.000 197.466 106.570 -73.442 42.5
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 199.813 107.837 -73.382 42.646 -70.962 42.425 4.668 -72.172 42.536 67.669 -60.000 195.121 105.304 -73.490 42.2
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 197.858 106.781 -71.373 41.869 -72.971 43.203 15.756 -72.172 42.536 67.669 -60.000 243.575 131.454 -72.951 43.4
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 198.526 107.142 -72.779 41.763 -71.565 43.308 13.081 -72.172 42.536 67.669 -60.000 196.105 105.835 -73.046 41.9
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 197.911 106.810 -73.197 43.006 -71.147 42.065 15.560 -72.172 42.536 67.669 -60.000 191.635 103.423 -73.197 42.9
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 197.884 106.795 -72.961 41.862 -71.383 43.209 15.661 -72.172 42.536 67.669 -60.000 194.533 104.987 -72.963 41.9
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 198.289 107.014 -73.260 42.145 -71.084 42.927 14.090 -72.172 42.536 67.669 -60.000 197.839 106.771 -73.220 42.1
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 197.824 106.763 -72.985 43.193 -71.359 41.878 15.879 -72.172 42.536 67.669 -60.000 202.041 109.039 -72.995 43.2
Harvard - MM - 545
&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;&lt;Error&gt;&lt;Code&gt;NoSuchKey&lt;/Code&gt;&lt;Message&gt;The specified key does not exist.&lt;/Message&gt;&lt;Key&gt;1b4ab5fee493cead478cc9dca0883b865af0f908.txt&lt;/Key&gt;&lt;RequestId&gt;CD4F4F8B1291BE80&lt;/RequestId&gt;&lt;HostId&gt;Jv7vEylFxDCBNjuVHRUVfeIcjGhq
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 198.060 106.891 -71.441 41.827 -72.903 43.245 14.996 -72.172 42.536 67.669 -60.000 197.090 106.367 -72.865 43.2
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 199.736 107.795 -71.931 41.655 -72.413 43.416 5.545 -72.172 42.536 67.669 -60.000 217.002 117.113 -72.242 41.6
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 198.045 106.882 -72.908 41.829 -71.436 43.242 15.056 -72.172 42.536 67.669 -60.000 198.172 106.951 -72.601 41.7
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] 0.000 199.868 107.866 -73.385 42.628 -70.959 42.444 3.916 -72.172 42.536 67.669 -60.000 215.709 116.415 -73.519 42.3
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 197.691 106.691 -73.088 43.115 -71.256 41.957 16.353 -72.172 42.536 67.669 4V8 1B9
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.058 106.889 -73.226 42.971 -71.118 42.1 15.005 -72.172 42.536 67.669 DDH OWD
Harvard - MM - 545
&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;&lt;Error&gt;&lt;Code&gt;NoSuchKey&lt;/Code&gt;&lt;Message&gt;The specified key does not exist.&lt;/Message&gt;&lt;Key&gt;2bf3fc852dccab2ba56b827d8f3430b815398e5a.txt&lt;/Key&gt;&lt;RequestId&gt;46B9FDA8F435AF8B&lt;/RequestId&gt;&lt;HostId&gt;dWLK/+sJIDmZidhqz2bm/MEMBxbZ
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.374 107.6 -73.355 42.744 -70.989 42.327 8.534 -72.172 42.536 67.669 DDH BOS
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.156 106.942 -73.242 42.12 -71.102 42.951 14.623 -72.172 42.536 67.669 GBR LWM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.596 107.18 -73.294 42.874 -71.05 42.197 12.765 -72.172 42.536 67.669 DDH OWD
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.006 107.401 -73.329 42.808 -71.015 42.264 10.748 -72.172 42.536 67.669 DDH BOS
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.54 107.15 -73.288 42.883 -71.056 42.188 13.016 -72.172 42.536 67.669 DDH OWD ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.12 106.923 -73.236 42.959 -71.108 42.113 14.766 -72.172 42.536 67.669 DDH OWD
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.04 106.879 -73.223 42.975 -71.121 42.096 15.076 -72.172 42.536 67.669 DDH OWD ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 200 107.937 -73.392 42.539 -70.952 42.532 0.148 -72.172 42.536 67.669 PSF BVY
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.618 107.192 -73.296 42.201 -71.048 42.87 12.667 -72.172 42.536 67.669 GBR LWM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.073 107.437 -73.334 42.275 -71.01 42.797 10.381 -72.172 42.536 67.669 GBR LWM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.985 107.929 -73.392 42.504 -70.952 42.567 1.338 -72.172 42.536 67.669 PSF BVY ORE ORE
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.237 106.986 -73.253 42.135 -71.091 42.936 14.3 -72.172 42.536 67.669 GBR LWM ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.865 107.325 -73.318 42.831 -71.026 42.241 11.485 -72.172 42.536 67.669 DDH OWD
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 197.865 106.785 -73.186 43.019 -71.158 42.053 15.728 -72.172 42.536 67.669 DDH 1B9
Harvard - MM - 545
&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;&lt;Error&gt;&lt;Code&gt;NoSuchKey&lt;/Code&gt;&lt;Message&gt;The specified key does not exist.&lt;/Message&gt;&lt;Key&gt;caca94b9412c801a4ac162c0224e9ec0565acacc.txt&lt;/Key&gt;&lt;RequestId&gt;776FEE47E4AB9B75&lt;/RequestId&gt;&lt;HostId&gt;gKu9m4x0MqFA5IevLuAbE5qo1zDN
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.789 107.823 -73.381 42.418 -70.963 42.653 4.96 -72.172 42.536 67.669 PSF BVY ORE ORE
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.029 107.413 -73.331 42.804 -71.013 42.268 10.624 -72.172 42.536 67.669 DDH BOS
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.883 107.874 -73.386 42.622 -70.958 42.449 3.688 -72.172 42.536 67.669 PSF BOS ORE ORE
Harvard - MM - 545
&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;&lt;Error&gt;&lt;Code&gt;NoSuchKey&lt;/Code&gt;&lt;Message&gt;The specified key does not exist.&lt;/Message&gt;&lt;Key&gt;943b6b2a28f57a16e8cf45f11a2b415258498429.txt&lt;/Key&gt;&lt;RequestId&gt;A88BD4E3894E1E6C&lt;/RequestId&gt;&lt;HostId&gt;ttK43XX543rDwqGfKWk5I8keBmxZ
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.641 107.744 -71.891 41.662 -72.453 43.409 6.462 -72.172 42.536 67.669 5B3 CNH
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.964 107.918 -72.084 41.639 -72.26 43.433 2.054 -72.172 42.536 67.669 IJD CNH
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.839 107.851 -72.359 41.648 -71.985 43.424 4.332 -72.172 42.536 67.669 IJD CNH ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.096 107.45 -71.714 41.706 -72.63 43.365 10.251 -72.172 42.536 67.669 5B3 VSF ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 199.89 107.878 -72.326 41.644 -72.018 43.427 3.572 -72.172 42.536 67.669 IJD CNH ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 197.889 106.798 -73.192 42.06 -71.152 43.012 15.641 -72.172 42.536 67.669 GBR MHT GDM ORE
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 197.805 106.753 -72.993 41.884 -71.351 43.188 15.948 -72.172 42.536 67.669 BDL CON ORE GDM
Harvard - MM - 545
time[min] xsec[km] xsec[nmi] x1.1st y1.1st x2.1st y2.1st xsec2[nmi] ctr.x ctr.y dpease[nmi] arpt1.1st arpt2.1st arpt1.2nd arpt2.2nd0 198.041 106.88 -73.223 42.975 -71.121 42.096 15.07 -72.172 42.536 67.669 DDH OWD