In a small town, all households have at most 3 cars. 20% of all households have no cars, 31% have 1 car, 27% have 2 cars and the rest have 3 cars. Let's say that the gasoline cost of a car is $5000 per year. Suppose a household is randomly selected and let X be the gasoline cost the randomly selected household need to pay in a year

Part A Determine the probability distribution of X by completing the table below. Note: Put all X values in an increasing order and round the probabilities to 5 decimal places (0.12345) if possible )

X	Probability

Part B Calculate the expected value of X. (Round the expected value to 5 decimal places if possible)

Part C Calculate the standard deviation of X (Round the standard deviation to 5 decimal places if possible)

Part D Calculate the probability that the gasoline cost is at least $7500 per year . (Round the probabilities to 5 decimal places if possible)

Part E Calculate the probability that the gasoline cost is at most $11000 per year. (Round the probabilities to 5 decimal places if possible)