9. Determine if the following situations suggest a random variable with a binomial distribution. Justify your answer. a) The number of questions correct if a student randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers. b) The number of people with blue eyes in a group of 10 people drawn from a room of 30 people without replacement. c) The number of bird chirps one can hear in a day if the average number of chirps per hour is 15. d) The number of heads scored in 30 flips of a coin e) The number of rolls of two dice that result in a prime number total if the dice are rolled 50 times.