A company offers three personal health, dental, vision care, and prescription drug plans for its employees to choose from, as follows.

Plan 1€”monthly cost of $32 with a $500 deductible; the par-ticipants pay the first $500 for the year, the insurer pays 90% of all remaining expenses.
Plan 2€”monthly cost of $5 with a deductible of $1200; the insurer pays 90% of expenses after the insured pays the first $1200 in a year.
Plan 3€”monthly cost of $24 with no deductible; the participants pay 30% of all expenses with the remainder paid by the insurer.
Tracy Orysik, an administrative assistant in the man-agement department, estimates that her annual expenses are defined by the following probability distribution.

Determine which plan Tracy should select.

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Probability Annual Expenses $100 0.15 500 0.30 1500 0.35 3000 0.10 5000 0.05 10,000 0.05