Mathematics
Mathematics, 30.09.2019 20:00, Carrchris021

Supermarket customers load their carts with goods totaling between $5 and $250 uniformly (and continuously) distributed; call this the raw order amount. assume that customers purchase independently of each other. at checkout, 63% of customers have a loyalty card that gives them 4% off their raw order amount. also at checkout, 18% of customers have coupons that give them 7% off their raw order amount. these two discounts occur independently of each other, and a given customer could have one or the other of them, both of them, or neither of them. to get to their net order amount (what they actually pay) construct a spreadsheet simulation to simulate 100 customers and collect statistics on the net order amount; these statistics should include the average, standard deviation, minimum, maximum, and a histogram to describe the distribution of the net order amounts between $0 and $250. to make the requested histogram, you can either mimic what was done in the newsvendor spreadsheet simulation, or use a different approach via whatever built-in excel facilities you'd like. (hint: to decide whether a customer gets a loyalty discount, explore the excel if function with the first argument's being a random number rand() distributed uniformly between 0 and 1; do similarly to decide on a coupon discount.)

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