Assignment:
Show all work and any explanations:
Q1) 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) The student gets three answers wrong.
b) The student gets exactly two answers correct.
c) The student gets only the first answer correct
Q2) 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?
Q3) 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
Q4. 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) Compute the median and mode number of unemployed workers
b) Is there a mode?
c) Compute the standard deviation of the number of unemployed works.
Q5. 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.
Provide complete and step by step solution for the question and show calculations and use formulas.