Statistics. Probability, Models, Regressions, and scatterplots. Please explain each question and its subparts. Thank you

1. One of the authors took his minivan in for repair recently because the air con- ditioner was cutting out intermittently. The mechanic identied the problem as dirt in a control unit. He said that in about 75 % of such cases, drawing down and then recharging the coolant a couple of times cleans up the problemand costs only $60. If that fails, then the control unit must be replaced at an addi- tional cost of $100 for parts and $40 for labor. a) Dene the random variable and construct the probability model. b) What is the expected value of the cost of this repair? 0) What does that mean in this context? Ohin case you were wonderingthe $60 x worked! 2. Suppose the time it takes a customer to get and pay for seats at the ticket win- dow of a baseball park is a random variable with a mean of 100 seconds and a standard deviation of 50 seconds. When you get there, you find only two people in line in front of you. a) How long do you expect to wait for your turn to get tickets? b) What's the standard deviation of your wait time? c) What assumption did you make about the two customers in finding the stan- dard deviation