The probability is .99 that a 30-year-old man will survive one year. An insurance company offers to sell a man P150,000.00 one-year term life insurance policy at a premium of P2,200.00. What is the company’s expected gain?

Insurance: An insurance company sells a 1-year term life insurance policy to an 83-year-old man. The man pays a premium of $4700. If he dies within 1 year, the company will pay $82,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 83-year-old man will be alive 1 year later is 0.9437. Let X be the profit made by the insurance company.Part: 0 / 20 of 2 Parts CompletePart 1 of 2(a) Find the probability distribution.The probability distribution isx 82000 4700Px

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $135, what is the company's expectation? (Round your answer to the nearest dollar.)$

1. A property development company takes on one new project each year, investing all of its capital in that year’sproject. If the project is successful, the company makes a profit of $1million. If the project is unsuccessful,the company is ruined (loses all its money) and ceases to exist. The success or failure of each project isindependent of all previous ones. The probability that a project is unsuccessful when x million dollars isinvested (for x = 1, 2, 3, . . .) is 1/(x + 1) 2 . Let X n million dollars be the company’s total capital after nprojects.(a) Write down the transition probabilities for the Markov chain (X n ).(b) Show that when X 0 = i, the probability h i of eventual ruin is 1i+1

Baby Pty Ltd. is planning to launch a new brand of makeup product. Based on market research, if sales are high they can make a profit of $3.3 million per year. If sales are 'so so' they can make a profit of $2.3 million per year. Finally, if sales are low they can lose $1.35 million per year.  The probability that sales will be high is 0.55. The probability that sales will be 'so so' is 0.15. Calculate the expected profit for the product (in $ millions per year) to two decimal places.

Consider an insurance company that offers a standard contract with the premium r=$300 and payout q=$500 to anyone who will purchase it. Alice has healthy-state income I_H=$700 and sick-state income I_S=$0. He has probability of illness p=0.6.Answer the following questions.If Alice purchases the insurance and stays healthy, her income will be $[C].If Alice purchases the insurance and ends up getting sick, her final income will be $[D].For Alice, the standard insurance contract is [E] (choose either fair or unfair) and [F] (choose either full or partial).