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
gavmur [86]
3 years ago
12

To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for th

e week. Previous experience indicates, that on average 14 persons per hour request test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of four minutes each. Assume the queue length can be infinite with FCFS discipline.
a. What average number in line can be expected? Round answer to 2 decimal places.

Average number expected _____ people

b. What average number of persons can be expected to be in the system? Round answer to 4 decimal places.

Average number of persons _____ persons

c. What is the average amount of time that a person can expect to spend in line? Round answer to 4 decimal places.

Average amount of time _____ hours

d. On the average, how much time will it take to measure a person's blood pressure, including waiting time? Round answer to 4 decimal places.

Time taken _____ hours
Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

(a) Average number expected = 13.07 people

(b) Average number of persons = 14 persons

(c) Average amount of time = 0.9333 hours

(d) Time taken = 1 hour

Step-by-step explanation:

We are informed that the arrivals have a Poisson distribution from an infinite population. On average, 14 persons per hour request a test. Hence,

Arrival rate = λ = 14

Each blood pressure measurement takes 4 minutes. In 1 hour, 60 / 4 = 15 persons are served. Hence,

Service rate = μ = 15

(a) Average number in line = (λ^2) / μ(μ - λ)

                                             = (14^2) / 15(15 - 14)

                                             = 13.07

(b) Average number in system = λ / (μ - λ)

                                                   = 14 / (15 - 14)

                                                   = 14

(c) Average waiting time = Average number in line / λ

                                         = 13.07 / 14

                                         = 0.9333

(d) Average total time = Average number in system / λ

                                     = 14 / 14

                                     = 1

You might be interested in
How to solve the inequality
beks73 [17]

Answer:

x\geq 19/6

Step-by-step explanation:

1. Multiply both sides by 6 (the LCM of 6,3)

5/2 + 3-x <= 2(x-2)

2. Simplify 5/2+3-x to 11/2-x

11/2 - x<=2 (x-2)

3. Expand.

11/2-x<= 2x-4

4. Add x to both sides.

11/2<= 2x-4+x

5. Simplify 2x-4+x to 3x-4.

11/2<=3x-4

6. Add 4 to both sides.

11/2+4<=3x

7. Simplify 11/2+4 to 19/2

19/2<=3x

8. Divide both sides by 3

19/2 /3 <=x

9. Simplify 19/2 /3 to 19/2*3

19/2*3<=x

10. Simplify 2*3 to 6

19/6<=x

11. Switch sides.

x>= 19/6

Hope this helps!

4 0
4 years ago
The school is having a dance as a fundraiser. Tickets cost $. Each
Art [367]

Answer:

How are we supposed to know .???

we can only see half of the problem

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help with an explanation!
Artist 52 [7]

Answer:

6 weeks

Step-by-step explanation:

Easier way to solve: If she takes 7 quizzes each week, 7 times something (amount of weeks) equals 42.

7 X <u>6</u> = 42

Solving with algebra: We know that hanna takes six quizzes a week and takes a total of 42 quizzes, therefore the unknown (x) is the amount of weeks she takes the quizzes.

Amount of weeks X amount of tests per weeks = 42 quizzes

<em>x </em>X 7 = 42

42/7 = 6

3 0
2 years ago
Read 2 more answers
How do you rewrite expressions using a positive exponent when the exponent originally attached is negative/fraction?
aleksley [76]

Answer:

Step-by-step explanation:

Take the negative exponent in the denominator to make it positive

Example = (2^-3)

= 1/2³

7 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
liubo4ka [24]

Answer:

1) 20.9

2) 896

3) 21

Step-by-step explanation:

1) 5.6÷2^3+(12.75+7.45)

---> 12.75 + 7.45 = 20.2

5.6 ÷ 2^3 + 20.2

--> Simplify 2^3 to 8

5.6 ÷ 8 + 20.2

--> 5.6 ÷ 8 = 0.7

0.7+20.2

--> Simplify

20.9

2) 4^3 × (0.6 +3.6) ÷ 0.3

---> 0.6 + 3.6 = 4.2

4^3 * 4.2 ÷ 0.3

---> 4^3 = 64

64 * 4.2 ÷ 0.3

--> 64 * 4.2 = 268.8

268.8 ÷ 0.3

--> 268.8 ÷ 0.3 = 896

896

3) 2^4 + (2.75 +1.75) ÷ 0.9

--> 2.75 + 1.75 = 4.5

2^4 + 4.5 ÷ 0.9

--> 2^4 = 16

16 + 4.5 ÷ 0.9

--> 4.5 ÷ 0.89 = 5

16 + 5

--> Simplify

= 21

8 0
2 years ago
Other questions:
  • What is the slope of the line containing the points (5,4) and (5,-3)?
    14·1 answer
  • 1.) Use the formula SA=6s², where SA is the surface area and s is the edge length of the cube, to solve this problem. The cube h
    8·1 answer
  • 15^1/5 rewrite in radical form
    7·2 answers
  • What is the value of x in the equation 3 x minus 4 y equals 65, when y equals 4?
    7·2 answers
  • WILL MARK BRAINLIEST!!
    15·1 answer
  • Last time even if u have to put it in the comments <br> Anybody else wants to hangout me
    13·1 answer
  • I’m so confused, I will try to mark brainliest, sorry if I can’t figure it out.
    5·2 answers
  • Please help me need ASAP
    10·1 answer
  • The first term of a sequence is -5, and the common difference is 10. What are the next three terms?
    11·1 answer
  • Price of article = $315.50
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!