Probability

Statistics

Question 4 (8 marks)

A coffee shop opens from 8am to 3pm (7 hours) daily. On average, there are 49 customers each day.

(a) Does it sound right to assume the probability of arrival of a customer is the same for any given hour during the opening time? Explain your answer. [1 mark]

From now on, regardless of your answer in part
(a), assume the probability of arrival of a customer is the same for any given hour during the opening time.
(b) What is the probability that there are 25 customers in a period of 3 hours? [2 marks]
(c) What is the probability that there are at least 60 customers in a day? [3 marks]
(d) Yesterday there were 60 customers. Does it indicate that the number of customers per day is increasing? Explain your answer. [2 marks]

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