Is anyone able to help me answer these 2 questions for my stats class? Thanks!

Question 2: [12 marks total] Part I: A group of 500 students is classied by the department they are enrolled in and whether or not they attend hockey games. Department Science Arts Professional Attend Hockey games? _ Yes No 175 75 250 500 (a) If an individual is randomly chosen from the 500 students, find the probability that: (i) The individual attends hockey games (ii) The individual attends hockey games and is in a Professional department (iii) The individual is not an Arts student (b) Determine whether or not the events \"Professional" and "attends hockey games\" are independent. to) Name 2 events in the above example that are mutually exclusive and explain why this is so. Question 3: Part I: In a parking lot at the CIS Men's Hockey Championship, the number X of individuals in a randomly selected car has the followin 7 distribution. (all Find the probability that for a randomly chosen car has (l) exactly one individual is present in the car. (2) 3 or more. people are present in the car. (5b) Find the (long run) average number of people in the car. (Note: (b) is asking for the expected value of X) (c) Suppose 2 cars are selected independently and at random. What is the probability that both cars will have exactly 1 person in them