1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
3 years ago
13

Customers enter the waiting line at a cafeteria on a first-come, first served basis. The arrival rate follows a Poisson distribu

tion, and service times follow an exponential distribution. If the average number of arrivals is 6 per minute and the average service rate of a single server is 10 per minute. What is the average number of customers in the system?
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

the average no of customers in the system is 0.9

Step-by-step explanation:

Given that

The average number of arrivals is 6 per minute

And, the average service rate of a single server is 10 minutes

We need to find out the average no of customers in the system

So,

Lq = rho^2 / 1 ÷ rho

= (6 ÷ 10)^2 ÷ (1 - 6 ÷ 10)

= 36 ÷ 100  ×  10 ÷ 4

= 0.9

Hence, the average no of customers in the system is 0.9

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bw%7D%7B7%7D%20%20%3D%20.%203" id="TexFormula1" title=" \frac{w}{7} = . 3" alt="
lina2011 [118]

Answer:

2.1

Step-by-step explanation:

w/7 = .3

Multiply each side by 7

w/7 *7 = .3*7

w = 2.1

8 0
4 years ago
What does positive correlation mean?
valina [46]

Answer:A positive correlation is a relationship between two variables such that their values increase or decrease together.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Sayid wants to buy 3 sweaters for $37 each and 2 scarves for $11 each.
Ilya [14]
The sweatshirts will be $12.33 and the scarves will be $22 so the answer it will be $34.33
5 0
3 years ago
Select the best method of finding an accurate solution to a system of linear equations.
dsp73
A.use algebraic methods
3 0
3 years ago
Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...<br><br> a(1)=<br> a(n)=
Liula [17]
The recursive formula would be:
a_1=10&#10;\\a_{n}=a_{n-1} \times (-8)

This is because the first term, a₁, is 10.  A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio.  The common ratio, or the number that each term is multiplied by, is -8.
6 0
4 years ago
Read 2 more answers
Other questions:
  • Which of the following is false?
    7·2 answers
  • Solve for x and draw a number line. 3x−91&gt;−87 AND 17x−16&gt;18
    8·1 answer
  • Find out what b is. pls explain<br> 3(b-4)=5b-2
    14·1 answer
  • Complete the last step to determine the surface area of the larger cone. The scale factor of the larger to the smaller is , or .
    5·2 answers
  • A recipe for a smoothie calls for 0.75 pound of strawberries. If Kerry has 31.5 pounds of strawberries, how many batches of the
    8·1 answer
  • Solve for x and find de mesures of Angule B<br>​
    5·1 answer
  • #1 EXAM QUESTION PLEASE HELP ME!!!
    11·1 answer
  • Which graph represents the solution to this system of inequalities?
    11·1 answer
  • Please help and it will be great if someone explain this :p​
    11·2 answers
  • Subtract: 7 7/10 -3 4/5 =
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!