Need help with the following..

5. A professor tracked how many cups of coffee she drank every day at work over the course of a year (we will consider this a \"large" number of days). She used the data to build a probability distribution where the discrete random variable X represents the number of cups of coffee she drank on a given day. Here is the distribution: X = # of cups 0 1 2 3 P(X) 0.05 0.10 0.75 0.10 a. What is her long run average number of cups of coffee per day at work, LIX? Remember to write the formula for the mean (expected value) of a discrete random variable and show your substitutions. Do not round your final answer. On average, she has cups of coffee per day at work b. Assuming next year she works 5 days a week, 49 weeks a year (there are 52 weeks in a year and she gets 3 weeks of vacation) and her coffee habits remain the same, how many cups of coffee do we expect she will consume at work next year? If her coffee habits remain the same, we expect her to consume cups of coffee next year