After graduating from college, you take a new job as the Senior Manager of custo

Question

After graduating from college, you take a new job as the Senior Manager of customer service at a local bank that has 10 branches in your area. Your boss asks you to use your new probability skills to build a model of the number of drive–up customers served at the main branch per day, and the purpose of this model is to help determine the number of staff members assigned to the drive–up window at the bank. You interview the staff members who have experience with drive–up banking, and they tell you that the most drive–up customers served per day is about 80 people and that the smallest number of drive–up customers is about 10 per day. Further, the senior teller at the bank tells you that the number of daily customers is evenly distributed between these high and low values. Based on this information, which probability model would be a good candidate for the number of drive–up customers per day? What is the mean and variance of this model?

Explanation / Answer

A uniform distribution would be used to model the number of drive -up customers.

a = 10,b=80

Mean = (a+b)/2 = 90/2=45

Variance = 1/12* [ b-a]^2 = 1/12* 70*70 = 408.33

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