A randomly selected car salesman's annual salary (in thousands) can be estimated by a random variable that follows x² -distribution with 53 degrees of freedom. Let X be the salary of a randomly selected car salesman. 1. Describe the distribution of X: X-Select an answer (df= 2. Use the random variable notation to express symbolically each of the following: 40.9. An event in which the salary of a randomly selected car salesman is less than The probability of an event in which the salary of a randomly selected car salesman is less than 40.9. The probability of an event in which the salary of a randomly selected car salesman is less than 60 is equal to 0.76. 3. Use technology to find the probability that the salary of a randomly selected car salesman is: i. less than 40.9: (round the answer to 2 decimal places) ii. more than 40.9: (round the answer to 2 decimal places) iii. between 49.9 and 57.5: (round the answer to 2 decimal places) iv. more than 153.9: (round the answer to 2 decimal places) v. less than 173.1: (round the answer to 2 decimal places) 4. Find the 29-th percentile: X29% ון (round the answer to 2 decimal places)