Assume you have a system in which an entity is processed by two sequential servers. Each server has a capacity equal to 1. When the entity enters the system, the entity will begin processing with server 1 if server 1 is free. When the entity is finished processing with server 1, it will move immediately to server 2. The entity will begin processing with server 2 if server 2 is free. Both server 1 and 2 have an unlimited buffer capacities for entities to wait. Let T be the simulation time of the nth state transition. The system state X(T) = (S₂(T). S2(T)) is the number of entities at server 1 and server 2. The states include entities who are being processed by a server. For example, if S₁(T) = 1, then 1 entity is being processed and no entities are waiting. If S₂(Tn) = 2. then 1 entity is being processed and 1 entity is waiting. The interarrival time for the entities follows an exponential distribution with a mean of 10 minutes. The processing time of server 1 follows an exponential distribution with a mean of 7 minutes. There is a stream of uniform random numbers for the interarrival times and server 1 processing times: 0.33, 0.97 The processing time of server 2 follows a uniform distribution between 4 and 14 minutes. There is a stream of uniform random numbers between 0 and 1 for server 2 processing times: 0.44 Assume X(Tn-1)=(2,0) and X(T) = (1,1). None of the uniform random numbers above have been used yet. What is the next event that will trigger the n+1st state transition?

Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: 30 Evaluate (1 + i)

A:

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 1 1 dx 3 5 x +x4

A:

Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: 3. 8-18 2エ-3 %3D

A: Given, 814-x = 92x-3  We will find the value of x

Q: A coefficient of skewness of 2.85:          a.  indicates a large amount of negative skewness…

A: Here we have given the, Coefficient of skewness is 2.85 i.e. Sk = 2.85 We have to identify the…

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: find  3/4 + 1/8

A:

Q: 18 2h 6h

A: Find the value of h  For which two line segments are equal

Q: 50/21 simplest form

A: Compute the simplest form of 50/21.That is, divide 50 by 21.

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: Find the 7th and 11th term of the expansion (y − x)^14

A:

Q: 1 3] [1 3 3 0 -1 2. 30 2

A:

Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

A:

Q: find the slopet y-intercept the line 2.

A: Given equation of line is  2x+3y=24

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: 36 70

A:

Q: In the expansion of (x + 4/x)12, find the term without x. a. 63 360 C. 506 880 b. 126 720 d. 3 784…

A:

Q: Prove that n² +n is divisible by 2, where n E N.

A:

Q: 17 8 15 Find show work please 2.

A:

Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

A:

Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

A:

Q: mplify. (76)2

A:

Q: efind the intergrationa

A:

Q: 3 S x²_9

A:

Q: Secă KosX

A:

Q: dt t²Vt² – 16

A: