help me plz

4. (10 Points) Suppose a car factory builds between 1 and 4 cars on a given day. The probability that it builds 3 cars is two times as likely as the probability that it builds 4 cars. The probability that it builds 2 cars is three times as likely as the probability that it builds 3 cars. The probability that it builds 1 car is five times as likely as the probability it builds 2 cars. a) Calculate the probability that the factory builds 1, 2, 3, and 4 cars, and draw a probability histogram showing the distribution for X. the number of cars that are built in a given day. b.) Find the expected value for the number of cars that are built in a given day and explain the meaning of the value you come up with. c.) Find the standard deviation for the number of cars that are built in a given day and explain the meaning of the value you have come up with