Your Name: 1. The Normal distribution with mean u = 21.2 miles per gallon and standard deviation o. 5.4 miles per gallon is an approximate model for the city gas mileage of 2001 model year vehicles. Let X be the city miles per gallon of one 2001 vehicle chosen at random. (a) Write the event "the vehicle chosen has a city miles per gallon of 32 or higher" in terms of X. (b) Find the probability of this event. 2. We can use the results of a poll on job satisfaction to give a probability model for the job satisfaction rating of a randomly chosen employed (full-time or part-time) American. Here is the model: Somewhat Somewhat Completely Rating Completely Dissatisfied Satisfied Dissatisfied Satisfied 0.12 Probability 0.02 0.47 (a) What is the probability of a randomly selected employed American being completely satisfied with his or her job? Why? (b) What is the probability that a randomly selected employed American will be dissatisfied with his or her job