The table shows claims and their probabilities for an insurance company. Amount of claim ​(to the nearest​ $20,000) Probability ​$0 0.70 ​$20,000 0.16 ​$40,000 0.07 ​$60,000 0.04 ​$80,000 0.02 ​$100,000 0.01 a. Calculate the expected value? b. How much should the company charge as an average premium so that it breaks even on its claim​ costs? c. How much should the company charge to make a profit of​ $50 per​ policy?

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The table shows claims and their probabilities for an insurance company.

Amount of claim
​(to the nearest​ $20,000)
Probability
​$0
0.70
​$20,000
0.16
​$40,000
0.07
​$60,000
0.04
​$80,000
0.02
​$100,000
0.01

a. Calculate the expected value?

b. How much should the company charge as an average premium so that it breaks even on its claim​ costs?

c. How much should the company charge to make a profit of​ $50 per​ policy?
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