An actuary is a person who assesses various forms of risk. Based on past data, the holder of an automobile insurance policy pays an insurance premium of $1200 and has a 5% chance of an accident causing $1000 of damage, a 2% chance of $5000 damage and a 1% chance of totaling the car worth $25,000. The probability of the insurance holder making through the year without any accidents is 92%. Find the expected value and interpret it. Is the insurance company likely to make or lose money with this type of policy in the long run

With this policy throughout the long run, the insurance company will make money. A further explanation is provided below.

Explanation:

According to the given values in the question,

The expected value will be:

⇒

By putting all the given values, we get

⇒                

⇒                

⇒                 ($)

As we can see that,

Thus the above is the correct answer.

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explanation:

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in 2001, dell computer became the world’s largest personal computer vendor, continuing to

gain market share and post profits in an industry struggling with slumping sales and billions of

dollars in losses. dell sells 90% of its pcs directly to the final customer, largely bypassing the

reseller channel that accounts for most of the world’s pc sales. this direct customer relationship

is the key to dell’s business model, and provides distinct advantages over the indirect sales

model. dell’s direct relationship with the customer allows it to tailor its offerings to customer

needs, offer add-on products and services, and use the internet to offer a variety of customer

services. in addition, dell’s pcs are built to customers’ specifications upon receipt of an order,

giving dell additional advantages over indirect pc vendors who must try to forecast demand and

ship products based on those forecasts. dell’s direct sales and build-to-order model has achieved

superior performance in the pc industry in terms of inventory turnover, reduced overhead, cash

conversion, and return on investment (kraemer, et al., 2000).

explanation: