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
Goshia [24]
3 years ago
7

Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars

per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution.
If required, round your answer to the nearest whole number.
(a) What is the average number of cars in the system?
(b) What is the average time that a car waits for the oil and lubrication service to begin?
(c) What is the average time a car spends in the system?
(d) What is the probability that an arrival has to wait for service?
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

(a) Average number of cars in the system is 1

(b) Average time a car waits is 12 minutes

(c) Average time a car spends in the system is 2 minutes

(d) Probability that an arrival has to wait for service is 0.08.

Step-by-step explanation:

We are given the following

Arrival Rate, A = 2.5

Service Rate B = 5

(a) Average Number of Cars in the System is determined by dividing the Arrival Rate A by the difference between the Service Rate B, and Arrival Rate A.

Average number of cars = A/(B - A)

= 2.5/(5 - 2.5)

= 2.5/2.5 = 1

There is an average of 1 car.

(b) Average time a car waits = A/B(B - A)

= 2.5/5(5 - 2.5)

= 2.5/(5 × 2.5)

= 2.5/12.5

= 1/5

= 0.20 hours

Which is 12 minutes

(c) Average time a car spends in the system is the ratio of the average time a car waits to the service rate.

Average time = 0.2/5

= 0.04 hours

= 2.4 minutes

Which is approximately 2 minutes.

(d) Probability that an arrival has to wait for service is the ratio of the average time a car waits to rate of arrivals.

Probability = 0.2/2.5

= 0.08

You might be interested in
A photograph measures 4 inches wide and 5 inches long if you have the photograph in large to fit a frame 36 inches long what is
Margarita [4]
The correct answer is A 

4 0
3 years ago
WILL GIVE BRAINLIEST! PLEASE HELP ASAP!
pantera1 [17]

Answer:

=1/2 answer is C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
YALL HELP PLS FAILING MATH<br><br><br> Simplify<br> 3(3.1x - 1) + 6.79x
In-s [12.5K]

Answer:

3(3.1x - 1) + 6.79x \\ 9.3x - 3 + 6.79 \\  = 9.3x + 3.79

4 0
2 years ago
Read 2 more answers
Select all the correct answers. If the measure of angle 0 is 5(pi)/4, which statements are true?
elixir [45]

Finding the equivalent angle of \theta, the correct statements are given as follows:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

<h3>What are equivalent angles?</h3>

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the given angle is as follows:

\theta = \frac{5\pi}{4}

It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:

\frac{5\pi}{4} - \pi = \frac{5\pi}{4} - \frac{4\pi}{4} = \frac{\pi}{4}

The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:

  • The Measure of the reference angle is 45.
  • \cos{\theta} = \frac{\sqrt{2}{2}}.
  • \tan{\theta} = 1
  • \sin{\theta} = \frac{\sqrt{2}{2}}.

More can be learned about equivalent angles at brainly.com/question/24787111

#SPJ1

8 0
1 year ago
Which quadrant will the line y=Negative one-fourthx – 15 never pass through?
Nata [24]

Answer:

quadrant 2

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Carly spent a total of $18.20 on Saturday afternoon. She bought a movie ticket for $8.25 and snacks for $3.85. She spent the res
    9·1 answer
  • Which statement is not true
    7·1 answer
  • When dividing fractions, like 1/5 divided by 3/4 what do we do?
    13·1 answer
  • Determine whether the sequence converges or diverges. If it converges, give the limit.
    11·1 answer
  • If 2x - 5= 7x + 3, then x = ?
    6·2 answers
  • How do I calculate velocity?
    9·1 answer
  • Last night, Julie’s pet hamster Zoe kept Julie awake for at least an hour running on her exercise wheel and scratching at the co
    14·1 answer
  • Plzz help ill make u brainliest
    12·2 answers
  • Helppp super simpleeeeeeeeeeeeeeeee
    10·1 answer
  • I need help with this problem ASAP!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!