Calliope really likes dark chocolate. Calliope estimates the following distribution of X, the number of pieces of dark chocolate that she will eat per day: X p(x) 0 0.02 1 0.16 2 0.38 3 0.35 4 0.09 This exam question is protected by copyright and may not be reproduced, distributed, or displayed. All Rights Reserved Round answers to two decimal places. a. What is the probability that Calliope will eat at least one but no more than three pieces of dark chocolate on a randomly selected day? b. What is the probability that Calliope will eat more than four pieces of dark chocolate on a randomly selected day? c. What is the expected number of dark chocolate pieces that Calliope will eat per day?