Every morning, Mr. Miller wakes up to find a single poop on the living room floor, created by one of Mollie, Alaina, Carly, or Miri. The probabilities that one is the culprit are, respectively, 20%, 10%, 25%, and 45%. If it is Mollie's 50% chance he poop, there is a 50% chance he will tell his class about it the next day. For Alaina, Carly, and Miri respectively, these probabilities are 75%, 30%, and 90%. (a) What is the probability that on a given day, Mr. Miller told his class about the poop on the Hoor? (b) If you know that Mr. Miller told his class all all of the details about the poop, what is the probability that the one who did it is Miri? (c) If you know that Mollie did not poop and Mr. Miller doesn't talk about the poop to his class, what is the probability that the one who did it 1s Carly