Suppose an automobile manufacturer introduces a new model that has an advertised mean in-city mileage of 27 miles per gallon and a standard deviation of 3 miles per gallon. Assume that the in-city mileages for this car model follow a normal distribution. Conduct the following tasks step by step in R and submit R output. Answers without R output will not receive any credit a) Set random seed by the following command: set.seed(your student number) b) Simulate this automobile mileage distribution by generating 350,000 Normal random numbers and print out the first observation of the generated mileages. c) Given your simulated data, find out the percentage of observations between 27 and 32 miles per gallon d) If you bought this model of automobile, you would consider yourself to be very unlucky to get mileage falling to the bottom 10% of this distribution. Based on your simulated data, what is the cutoff for the bottom 10% of this distribution