An insurance company sells a 1-year term life insurance policy to an 84-year-old man. The man pays a premium of $1,700. If he dies within 1 year, the company will pay $36,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 84-year-old man will be alive 1 year later is 0.9537 Let be the profit made by the insurance company.

(a) Find the probability distribution. The probability distribution is X ? 1700

P(x) ? ?