2. A person designing digital art works finds that the time spent on an art work follows Exponential distribution with m

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2 A Person Designing Digital Art Works Finds That The Time Spent On An Art Work Follows Exponential Distribution With M 1 (97.42 KiB) Viewed 32 times

2. A person designing digital art works finds that the time spent on an art work follows Exponential distribution with mean 20 minutes. If the art works aredesigned in the order in which they come in and their arrival is approximately follows Poisson distribution with an average rate of 15 per 8-hour day. (4 (2 ?? e) On average how many art works are there at the designer in a day? (2 marks) f) What is the average waiting time for art works? (2 marks) g) What is the probability that there are 4 art works to be designed? (2 marks) h) What is the probability that there are more than 8 art works to be designed? (2 marks) i) What is the waiting time of an art work in the queue? (2 marks) j) If the arrival rate of art works has doubled per hour, how many designers are required to provide an equilibrium level of service? (5 marks)