Badly need this answer, will upvote if answer is correct... A restaurant manager is considering to hire waiters. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 customers per hour, and the average service time is 15 minutes. The manager hopes that there is on average 1 customer waiting in line, so at least how many waiters does he need to hire?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A restaurant manager is considering to hire waiters. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 customers per hour, and the average service time is 15 minutes. The manager hopes that there is on average 1 customer waiting in line, so at least how many waiters does he need to hire?
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