The number of pizzas consumed per month by university students is normally distributed with a mean of 12 and a standard deviation of 3. A. What proportion of students consume more than 14 pizzas per month? Probability .2524 a B. What is the probability that in a random sample of size 11, a total of more than 121 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 11 students?) Probability = 1 The score on an exam from a certain statistics class, X, is normally distributed with u = 77.2 and o = 8.2. NOTE: Assume for the sake of this problem that the score is a continuous variable. A score can thus take on any value on the continuum. (In real life, scores are often treated as if they were continuous values but are actually discrete in most cases.) (a) Write the event "a score equal to 66.2" in terms of X: X=66.2 (b) Find the probability of this event: 0 (c) Find the probability that a randomly chosen score is greater than 88.7: .08039 (d) Find the probability that a randomly chosen score is between 66.2 and 88.7