Finite Math

Show all work and any explanations so that I will understand how to work the problems.

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Math 212 Finite Mathematics

Show all work and any explanations:

1) An unprepared student takes a three-question, true/false quiz in which he guesses the
answers to all three questions, so each answer is equally likely to be correct or wrong.

a) (4) The student gets three answers wrong.

b) (4) The student gets exactly two answers correct.

c) (4) The student gets only the first answer correct

2) (4) An automobile manufacturer produces 7 models, each available in 6 different exterior
colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of
automobile are available?

3. (8) Construct a frequency distribution and construct a histogram for the following data
Use seven intervals, starting with 30-39.

79 71 78 87 69 50 63 51
60 46 65 65 56 88 94 56
74 63 87 62 84 76 82 67
59 66 57 81 93 93 54 88
55 69 78 63 63 48 89 81
98 42 91 66 60 70 64 70
61 75 82 65 68 39 77 81
67 62 73 49 51 76 94 54
83 71 94 45 73 95 72 66
71 77 48 51 54 57 69 87

4. The number of unemployed workers (in millions) from 1992 to 2001 are recorded below.
9.61 8.94 8.00 7.40 7.24 6.74 6.21 5.88 5.66 6.74

a) (8) Compute the median and mode number of unemployed workers

b) (2) Is there a mode?

c) (6) Compute the standard deviation of the number of unemployed works.

5. (4) Below is the simplex tableau for a linear programming problem.
x y s1 s2 z C
5 3 1 0 0 34
3 5 0 1 0 30
-2 -14 0 0 1 0
The pivot column is the y column and the pivot element is five in the middle row. Use this information to make the entry 0 in the first row, second column.