What is the probability of no units in the system


Problem: In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds per customer. Assume the Poisson and exponential distributions. Carry all answers to at least 3 decimals.

a. What is lambda?

b. What is mu?

c. What is the probability of no units in the system?

d. What is the average number of units in the system?

e. What is the time in the waiting line?

f. What is the average time in the system?

g. What is the probability that there is one person waiting?

h. What is the probability that an arrival will have to wait?

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Basic Statistics: What is the probability of no units in the system
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