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
What is the y-intercept of y = 5?<br> Choose 1 answer:<br> 5,5<br> 5,0<br> 0,5<br> 0,0
evablogger [386]

Answer:

y-intercept is  at (0, 5)   for  y = 5

Step-by-step explanation:

for y = 5 is a horizontal line

7 0
3 years ago
What is $1.99 $1.99; ÷ 10 = ???
scZoUnD [109]
$2.189 there uu go.......
6 0
2 years ago
Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

#SPJ1

7 0
1 year ago
Heather is going to graph y= -3x^2 +3. How is the parent graph transformed
Akimi4 [234]
Well compared to the parent function x^2, the graph of y=-3x^2+3 is flipped upside down (negative sign), steeper, and is up 3 units from the origin.
6 0
3 years ago
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
zalisa [80]
<h3>Answer: C) 4</h3>

All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).

g(x) = f(x)+k

g(x) = f(x)+4

3 0
3 years ago
Other questions:
  • King kyle orders the construction of his future mausoleum ( a fancy tomb) so that people never forget his awesomeness. His archi
    15·1 answer
  • What is the measurement of an interior angle of a regular triangle
    9·1 answer
  • Which equation is nonlinear?<br> A) 4x = 12 <br> B) 3y = 12 <br> C) xy = 12
    11·2 answers
  • To prove that all circles are similar you would use the sequence of similarity ______.
    6·2 answers
  • triangles IJK and TUV are similar.The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 27
    7·1 answer
  • What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?
    7·2 answers
  • PLEASE HELP QUICKLY!!!
    10·2 answers
  • Plssss help with all thiss​
    15·1 answer
  • Ivan has a sticker collection. 2/5 of his stickers are scratch-and-sniff stickers. 1/4 of his scratch-and-sniff stickers smell l
    6·1 answer
  • Solve -33 &lt; 12x + 15 99.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!