The management of a shop has gathered data on customer purchasing habits, and knows that 20% its customers typically make an additional purchase (e.g., cold drink, food item) beyond their hot beverage of coffee or tea. Let x represents the number of customers making purchases. What discrete probability distribution best describes this context? Is it reasonable to presume that customers make their purchases independently of each other? For all practical purposes, lers presume yes.] Answer the following questions.
If a population of 10000 customers is considered, how many on average would be expected to make these additional purchases?
and
Compute the population standard deviation for this random variable and use your answer from the previous question in order to complete the following observation: Out of a population of 10000 customers, on average _____ customers make additional purchases, give or take _____ customers.
please show work and if can be done in excel