Your company has recently revamped its health care insurance plan. You now have a choice of one of three plans as shown below:
Plan 1: The monthly cost is $32 and the insurer pays 90% of all expenses after you have paid the first $500 each year ($500 deductible).
Plan 2: The monthly cost is $5 and the insurer pays 90% of all expenses after you have paid the first $1200 each year ($1200 deductible).
Plan 3: The monthly cost is $24 and the insurer pays 70% of all expenses (no deductible).
You have gone back several years and examined past medical expenses and created the following probability distribution.
Annual Medical Expenses ($) Probability
a) Determine which plan you should select.
b) Calculate the expected annual cost resulting from your choice.
The question belongs to Statistics and it discusses about selecting a plan with probabilities given and calculating the resultant expected annual cost.
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