Hey... needed some help with these stats questions...
Question: The manager at the the Boston branch of Mcdonalds is interested on better understanding the customers that arrive at her restaurant. After extracting and summarizing data from the extensive sales database, she has found out some interesting facts:
• Average number of add-ons (items ordered in addition to the meal, such as dessert and drink) is 1.8
• Lunch customers arrive at this restaurant at an average rate of 2.1 per minute
She needs some help in defining the required number of employees during lunch time. To make that determination, she would like to know,
a) What is the probability that exactly 100 customers arrive during the lunch hour?
b) What is the probability that no more than 100 customers will arrive during the lunch hour?
For a, we have Lambda here to be (100/60), and we are trying to find x in the poisson distribution equation. However, not sure how to go about doing it since we have to unkonwns (Probability and x)... If 100 customers is x, then the equation gives me an answer of 0 since 100factorial is too large.. any ideas?
c) Suppose the average profit on a meal (excluding add-ons) is $1.00 and the average profit per add-on is $0.25. What is the probability that Mac & Company will get just as much or more profit from add-ons than from the meal from a given customer?
Totally clueless about this one... Do I use 1 as the x in the poisson distribution and plug in to get the probability?
Thanks much
Question: The manager at the the Boston branch of Mcdonalds is interested on better understanding the customers that arrive at her restaurant. After extracting and summarizing data from the extensive sales database, she has found out some interesting facts:
• Average number of add-ons (items ordered in addition to the meal, such as dessert and drink) is 1.8
• Lunch customers arrive at this restaurant at an average rate of 2.1 per minute
She needs some help in defining the required number of employees during lunch time. To make that determination, she would like to know,
a) What is the probability that exactly 100 customers arrive during the lunch hour?
b) What is the probability that no more than 100 customers will arrive during the lunch hour?
For a, we have Lambda here to be (100/60), and we are trying to find x in the poisson distribution equation. However, not sure how to go about doing it since we have to unkonwns (Probability and x)... If 100 customers is x, then the equation gives me an answer of 0 since 100factorial is too large.. any ideas?
c) Suppose the average profit on a meal (excluding add-ons) is $1.00 and the average profit per add-on is $0.25. What is the probability that Mac & Company will get just as much or more profit from add-ons than from the meal from a given customer?
Totally clueless about this one... Do I use 1 as the x in the poisson distribution and plug in to get the probability?
Thanks much
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