2. Artie Siegel, an MBA student, has been having problems balancing his checkbook. His monthly income is derived from a graduate research assistantship; however, he also makes extra money in most months by tutoring undergraduates in their quantitative analysis course. His historical chances of various income levels are shown in the following table:
Monthly Income* ($) |
Probability |
350 |
0.40 |
400 |
0.20 |
450 |
0.30 |
500 |
0.10 |
*Assume that this income is received at the beginning of each month.
Siegel’s expenditures also vary from month to month, and he estimates that they will follow this distribution:
Monthly Expenses
($) |
Probability |
300 |
0.10 |
400 |
0.45 |
500 |
0.30 |
600 |
0.15 |
Income |
85 |
54 |
73 |
95 |
9 |
19 |
81 |
2 |
76 |
55 |
57 |
1 |
Expenses |
99 |
44 |
1 |
80 |
95 |
72 |
75 |
16 |
32 |
57 |
31 |
32 |
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