7. Determine whether the variable X has a binomial distribution in each of the following cases. If it does, determine the values of the parameters n and p and calculate P(X = 3). If it doesn't, explain why not. (a) Take a random sample of 25 Canadians. X = number of people in the sample with blood type A (with probability 30%). (2 marks) (b) There are ten people waiting in line at a bank. X = number of people in line who are served in the next 15 minutes. (2 marks) (c) You repeatedly flip two quarters simultaneously until both quarters land on Heads. X = number of flips required for both quarters to land on Heads. (2 marks) (d) A student randomly guesses the answer to each of the 25 multiple choice questions on this exam. X = number of multiple choice questions the student gets correct. (2 marks)(e) A fair die is repeatedly rolled. X = number of rolls required to observe the number 5 for the third time. (2 marks)