1. Imagine we manage a chain of coffee shops, and were interested in understanding the average monthly expenditure of our customers. Based on historical data, we know that the population mean monthly expenditure is $75 with a standard deviation of $20. Provide a description of the statistic of interest. b. Identify the sampling distribution of the statistic above. c. What is the probability that the average monthly expenditure of 30 randomly customers will be more than $80? 2. Let's consider that our coffee shop chain is now running a promotional campaign, and based on historical campaigns, we know that around 40% of customers participate in any given promotion. If we were to randomly select 100 customers during a new promotion period, what is the probability that more than 45% of the sampled customers will participate in the promotion