Customers arrive at a single-server queue in accordance witha
poisson process having rate
. however, an arrival that finds n customers already in the system
willonly join the system with probability 1 / (n + 1). that is, withprobability
n / ( n +1) such an arrival
will not join the system. show that thelimiting distributioni of
the number of customers in the system ispoisson with mean
.

Please see attachment

Step-by-step explanation:

Please see attachment

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere