Final answer:
The expected value of the number of cups of coffee Alex drinks each day cannot be determined without the actual data.
Step-by-step explanation:
The expected value of the number of cups of coffee Alex drinks each day can be calculated by finding the mean of the given data. In this case, the given data is not provided, so we cannot determine the expected value. The options mentioned in the question (0.200 cups, 0.163 cups, 0.976 cups, 1.881 cups) are possible values of the expected value, but without the actual data, we cannot determine which value is correct.