Question

An insurance company insures a person's antique coin collection worth $20,000 for an annual premium of...

An insurance company insures a person's antique coin collection worth $20,000 for an annual premium of $300. If the company figures that the probability of the collection being stolen is 0.002, what will be the company's expected profit?

PLEASE CREATE CHART

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The chart is here -

X P(X)
300 0.998
0 0.002

E(X) = Σ X.P(X) = 300*0.998 + 0*0.002 = 299.4 + 0 = 299.4

The expected profit is $299.4.

Add a comment
Know the answer?
Add Answer to:
An insurance company insures a person's antique coin collection worth $20,000 for an annual premium of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Insurance, Inc., a nonlife insurance company, insures customer properties, including jewelries. The company will insure a...

    Insurance, Inc., a nonlife insurance company, insures customer properties, including jewelries. The company will insure a $50,000 diamond for its full value against theft at an annual premium of $400. Suppose that the probability that the diamond would be stolen is 0.005, and let xdenote the insurance company’s profit. Set up the probability distribution of the random variable x. Calculate the insurance company’s expected profit. Find the premium that the insurance company should charge if it wants its expected profit...

  • Insurance. The annual premium for a $15,000 insurance policy against the theft of a painting is...

    Insurance. The annual premium for a $15,000 insurance policy against the theft of a painting is $250. If the empirical) probability that the painting will be stolen during the year is .01, what is your expected return from the insurance company if you take out this insurance? a. Let X be the random variable for the amount of money received from the insurance company in the given year. Complete the payoff table for the random variable X. (Enter the values...

  • An insurance company will insure a $220,000 home for its total value for an annual premium...

    An insurance company will insure a $220,000 home for its total value for an annual premium of $590. If the company spends $30 per year to service such a policy, the probability of total loss for such a home in a given year is 0.001 and you assume either total loss or no loss will occur, what is the company's expected annual gain (or profit) on each such policy? OA $290 O B. $340 O C. -$220 O D. $370...

  • The annual premium for a $5,000 insurance policy against the theft of a painting is $200....

    The annual premium for a $5,000 insurance policy against the theft of a painting is $200. If the (empirical) probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance? Let X be the random variable for the amount of money received from the insurance company in the given year. Edollars

  • Suppose a company charges an annual premium of $450 for a fire insurance policy. In case...

    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?

  • Problem #3 Jan's wealth amounts to $100,000. His car, worth $20,000, is exposed to the risk...

    Problem #3 Jan's wealth amounts to $100,000. His car, worth $20,000, is exposed to the risk of being stolen and the probability of theft actually taking place is 25%. Jan's expected utility function takes the form U(W) - In(W), where W-wealth. a) Find Jan's expected utility (EU) in the situation when he does not buy car theft insurance. b) Find the fair insurance premium assuming that the insurance company does not bear any administrative costs. c) Find the maximum amount...

  • An insurance company will insure a $50,000 diamond for its full value against theft at a...

    An insurance company will insure a $50,000 diamond for its full value against theft at a premium of $400 per year. Suppose that the probability that the diamond will be stolen is .005, and let x denote the insurance company's profit. a) Set up the probability distribution of the random variable x. b) Calculate the insurance company's expected profit. c) Find the premium that the insurance company should charge if it wants its expected profit to be $1,000.

  • An insurance company will insure a $50,000 diamond for its fullvalue against theft at a premium...

    An insurance company will insure a $50,000 diamond for its fullvalue against theft at a premium of $400 per year. Suppose that theprobability that the diamond will be stolen is .005, and let xdenote the insurance company’s profit. a) What is the name of this distribution? Circle the correctanswer. A) Discrete Distribution. B) Sampling Distribution about theMean C) Normal Distribution D) Binomial Distribution b) Set up the probability distribution of the random variable x intabular form. c) Calculate the insurance...

  • . A health insurance company charges policyholders a $2250 annual premium for health insurance for hospitalization....

    . 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?

  • . A health insurance company charges policyholders a $2900 annual premium for health insurance for hospitalization....

    . A health insurance company charges policyholders a $2900 annual premium for health insurance for hospitalization. The company estimates that each time a patient is hospitalized costs the company $3,250. 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?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT