Question: Marisol estimates that her monthly needs as follows: Usage ( minutes ) Probability 1 5 0 1 5 % 2 0 0 2 5 %

Marisol
estimates that her monthly needs as follows:
Usage(minutes) Probability
15015%
20025%
30025%
35023%
40012%
If Marisol chooses the Pick Your Minutes plan described above, how many minutes
should she optimally contract for (i.e., optimal x)? Please provide the detailed reasoning
steps.

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