The manager of the restaurant notices that customers arrive at the restaurant at an average rate of 10 customers per hou

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The Manager Of The Restaurant Notices That Customers Arrive At The Restaurant At An Average Rate Of 10 Customers Per Hou 1 (57.32 KiB) Viewed 23 times

The manager of the restaurant notices that customers arrive at the restaurant at an average rate of 10 customers per hour. Assume a Poisson distribution. 2.1 Determine the probability that exactly 7 customers arrive in a given hour. (4 marks) 2.2 Determine the probability that at least 2 customers arrive in a given 15-minute period. (8 marks) Customers at the restaurant have to wait an average of 25 minutes before they receive their meal from the time their order was placed. Assume these waiting times are normally distributed with a standard deviation of 5 minutes. 3.1 (6 marks) What is the probability that a randomly selected customer waits between 20 and 35 minutes before receiving his meal from the time his order was placed? 3.2 (7 marks) What is the maximum waiting time for a customer to receive her meal if she is in the 10% of customers who receive their meals in the fastest time from when the order was placed?