In a single-server queuing system, if 12 customers arrive per hour with poisson distribution and 30 customers are served per hour with a negative exponential distribution. the system utilization is: - 1) 0.4 2) 0.02. 3) 0.06 4) 0.27

0.4

Step-by-step explanation:

λ= number of arrival per unit time

μ= number of customers served per unit time

now we know that

System Utilization  =

in our case it is given that

λ= 12 per hour

and μ= 30 customers served per hour

therefore  system utilization=  

= 0.4

hence the final answer is 0.4

hope this helps

45

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.