1. [10marks] At a beauty shop, there are one hairdresser and one manicurist, who provide only...

Transcribed Image Text:

1. [10marks] At a beauty shop, there are one hairdresser and one manicurist, who provide only haircut services and only manicure services respectively. The times for them to finish a customer request are both normally distributed. On average, the hairdresser and the manicurist respectively spend 20 and 25 minutes to finish a case; the standard deviation for the hairdresser's service time is 3 minutes while the manicurist's is 1 minute. For each service type, the customers arrive according to a Poisson process with an arrival rate of 2 people per hour. Suppose that two customers, one coming for haircut services while another coming for manicure services, just arrived at the beauty shop. Which one has a shorter expected waiting time in the queue? 1. [10marks] At a beauty shop, there are one hairdresser and one manicurist, who provide only haircut services and only manicure services respectively. The times for them to finish a customer request are both normally distributed. On average, the hairdresser and the manicurist respectively spend 20 and 25 minutes to finish a case; the standard deviation for the hairdresser's service time is 3 minutes while the manicurist's is 1 minute. For each service type, the customers arrive according to a Poisson process with an arrival rate of 2 people per hour. Suppose that two customers, one coming for haircut services while another coming for manicure services, just arrived at the beauty shop. Which one has a shorter expected waiting time in the queue?

Answer rating: 100% (QA)

To determine which customer has a shorter expected waiting time in the queue we can use queueing the... View the full answer