Problem 1 (6) Jason has an alarm which will ring at the appointed hour with probability 0.7. If it rings, it will wake him with the probability 0.8. If it does not ring, he will wake in time to make his morning class with probability 0.3. a) What is the probability that he will wake up (and thus make his morning class)? (3) b) If it is known that he woke up, what is the probability that his alarm rang? (3)