Suppose a company charges an annual premium of $450 for a fire insurance policy. In case of a fire claim, the company will pay out an average of $100,000. Based on actuarial studies, it determines that the probability of a fire claim in a year is 0.004. What is the expected annual profit of a fire insurance policy for the company? What annual profit can the company expect if it issues 1000 policies?
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Suppose a company charges an annual premium of $450 for a fire insurance policy. In case...
Suppose a company charges an annual premium of $140 for an insurance policy for minor injuries. Actuarial studies show that in case of an injury claim, the company will pay out an average of $900 for outpatient care and an average of $3000 for an overnight stay in the hospital. They also determine that, on average, each year there are five claims made that result in outpatient care for every 1000 policies and three claims made that result in an...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $300, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $290,000. a. Make a table of the two possible payouts on each policy with the probability of each. b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance and standard deviation of your...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $270, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $260,000. a. Make a table of the two possible payouts on each policy with the probability of each. b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance and standard deviation of your...
please hightlight the answers Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $200, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $190,000 a. Make a table of the two possible payouts on each policy with the probability of each. Outcome A: No Fire $ o Outcome B: Fire! 190,000 Payout b. Suppose you own the entire firm, and the company...
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $310, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $300,000. a. Make a table of the two possible payouts on each policy with the probability of each. Outcome A: No Fire Outcome B: Fire! Payout b. Suppose you own the entire firm, and the company issues only one polley. What are the...
This is the Full Question. There are not anymore details. Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $360, the probability of a fire is 01%, and in the event of a fire, the insured damages (the payout on the policy) will be $350,000 a. Make a table of the two possible peyouts on each policy with the probability of each, Outcome A: No Fire Outcome B: Fire! Payout b. Suppose you own the entire firm,...
I really need a help with it please. Thank you. Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $170, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $160,000 a. Make a table of the two possible payouts on each policy with the probability of each Answer is complete but not entirely correct. Outcome Outcome Fire! No Fire 170 Payout $...
13. An insurance company sets a premium of a $5 term Insurance Policy of $1000 a 45-year old man will die during the next year is 0.0036. The probablitn distribution of the random variable X that denotes the gain to the insurance company is: for selling a l-year to a man of age 45. The probability that Random variable X $5 Probabili $5 $1000 0.0036 0.9964 6s a) What is the Expected Value (mean) or? b) If the company sells...
An insurance company has 10,000 outstanding fire policies. For each policy, there is an expected claim of $100 with a standard deviation of $400. The individual claims are independent random variables. What is the probability that the total of all claims exceeds $1,100,000.
. A health insurance company charges policyholders a $2250 annual premium for health insurance for hospitalization. The company estimates that each time a patient is hospitalized costs the company $3200. Furthermore, they have estimated that 85% of patients will not be hospitalized, 10% will be hospitalized once a year, and no one will be hospitalized more than twice. (a) Find the insurance company’s expected profit per policyholder. (b) What is the expected profit if they enroll 80,000 policyholders?