Lottery: In the New York State Numbers Lottery, you pay $ 1 and pick a number from 000 to 999. If your number comes up, you win $650, which is a profit of $649. If you lose, you lose $1. Your probability of winning is 0.001. OO Part: 0 / 2 EO Part 1 of 2 (a) What is the expected value of your profit? Round the answer to two decimal places. The expected value of profit is X oloDo you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning com survey of cars showed that the probability distribution of X is as follows. 1 2 3 4 5 P(x) 0.70 0.15 0.10 0.03 0.026 Insurance: An insurance company sells a 1-year term life insurance policy to an 75-year-old man. The man pays a premium of $2300. If he dies within 1 year, the company will pay $48,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 75-year-old man will be alive 1 year later is 0.9537. Let X be the profit made by the insurance company.Texting: Five teenagers are selected at random. Let X be the number of them who have sent text messa According to a study by the Nielsen Company, the probability distribution of X is as follows: r x 0 ' 1 2 3 4 5 P(x) 0.014 0.098 0.258 00343 0.227 , 0.060 ' Send data to Brae] ges on their cell phones within the past 30 days. Texting: Five teenagers are selected at random. Let X be the number of them who have sent text messa According to a study by the Nielsen Company, the probability distribution of X is as follows: r x 0 ' 1 2 3 4 5 P(x) 0.014 0.098 0.258 00343 0.227 , 0.060 ' Send data to Brae] ges on their cell phones within the past 30 days