Shiny white dental insurance costs $258 per year. approximately one-third of insured people need a filling, which averages $110 each. 80% of insured people get a preventive check-up each year, and the average cost of this visit is $95. if you consider shiny white’s income and expenses, what is the expected value of each insured customer?

  about $145.33

Step-by-step explanation:

Consider a group of 15 customers. They will pay ...

  15 × $258 = $3870

in premiums each year.

One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...

  5 × $110 = $550

And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...

  12 × $95 = $1140

The net income from these 15 customers will be ...

  $3870 -550 -1140 = $2180

Then the average income per customer is this value divided by the 15 customers in the group:

  $2180/15 = $145.33

Alternate solution

Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:

  258 - (1/3)·110 - 0.80·95 = 145.33

in english this is

ex.15 pag.85 create. write in ten lines the continuation of the ballad of the five motanasi, using verbs to the imperfect and to the perfect compound. five stars

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