A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The average time a customer can expect to wait in line is:

Answers

Answer 1

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes


Related Questions

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No

Answers

ABC I really need these points thx a lot

Josue owns a small business selling bagels. He knows that in the last week 80
customers paid cash, 45 customers used a debit card, and 4 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash as a decimal to the nearest hundredth.

Answers

Answer: 0.62

Step-by-step explanation: I got the answer

The probability that the next customer will pay with cash is 0.62

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.

So, the total number of customers:

⇒ n(S) = 80 + 45 + 4

⇒ n(S) = 129

Let event A: the next customer will pay with cash

n(A) = 80

So, the probability that the next customer will pay with cash would be,

⇒ P(A) = n(A)/n(S)

⇒ P(A) = 80/129

⇒ P(A) = 0.62

Therefore, the probability that the next customer will pay with cash is 0.62

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

WHY IS NO ONE ANSWERING MY QUESTIONS

Answers

Answer:

perimeter = 2 * pie * r

r = 17 foot = 17/3 yards

3ft = 1 yard

perimeter = 2 * 3.14 * 17/3

= 2 * 22/7 * 17/3

= 44 * 17 / 21

= 35.605 yards

YAAAAY! WE FOUND THE ANSWER!!!! ITS THE OPTION B.35.605 LETS GET IT!!!!!

Step-by-step explanation:

So what I did was basically found the perimeter of the circle.. perimeter of circle is 2 multiplied by pie multiplied by r..and then I found the r value...and ye...we r finished.

STREAM LGO AND DYNAMITE

WE ARE ABOUT TO REACH 1B

HOPE I HELPED U KPOP BESTIE!

BYEEE

whos ur celeb crush I need to know mines is the actor of wanda

Answers

Answer:

Same!!!!!!!!!!!

Step-by-step explanation:

Answer:

mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor

A package contains 6 cups of cereal. Each serving is 1/4 cup of cereal. How many serving are there in all?

Answers

Answer:

1 and 2/4 I think

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 4•(1/4)=1

4•6=24

For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.

Answers

Answer: green

Step-by-step explanation:

In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt

Answers

Answer:

Step-by-step explanation:

lets have the shirts represent s and the ties t.

1. 6s+3t=79.50

2. 3s+2t=41

These would be the equations.

you multiply the second equation by -2 to cancel s and add both equations.

6s+3t=79.50

-6s+-4t=-82

-1t=-2.5 (after adding you divide by -1)

t=2.5

You can then subsitute that in either equation.

I am going to ue teh second one.

3s+2t=41

3s+2(2.5)=41

3s+5=41 (subract 5 to isolate variable)

3s=36 (divide by 3 to isolate variable)

s=12

Hence, one shirt is 12$.

need help asap


—————-

Answers

Answer:

I believe it's 15,000//B

x = _

•2

•6

•3.75

Thank you!​

Answers

Answer:

so is the value of six times 1

Step-by-step explanation:

Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made

Answers

Wheres the table?? You said “the table below” and what are you asking for? I can always answer in the comments section

Answer:

37

Step-by-step explanation:

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

11. The cost of oranges at a local grocery store is shown in the table below.
Number of
Oranges
3
7
10
12
Total Cost
$1.26
$2.94
$4.20
$5.04
Which of the following represents the unit rate for the oranges?
O A. $1.68 for 1 orange
OB. $0.84 for 1 orange
O C. $1.26 for 1 orange
O D. $0.42 for 1 orange

Answers

Answer:

D. $0.42 for 1 orange

Step-by-step explanation:

Divide the number of oranges by the corresponding total cost.

Ex. 5.04 ÷ 12 = 0.42

Answer: 0.42

Step-by-step explanation: 0.42+0.42+0.42= 1.26

A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins

Answers

Answer:

A

Step-by-step explanation:

2.34 divided by 6 so then that gives you o.39

For an F distribution, find the following:

(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6

Answers

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?

Answers

Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?

Answers

Step-by-step explanation:

{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9

{2,3,5,7}---set of prime numbers from 0 tp 9

there are 10 numbers in the first set and 4 numbers in the second set.

4/9 is the probability that the digit he selects is a prime number

Hope that helps :)

Solve for x. Enter your answer in the box below as a fraction in lowest terms, using the slash (/) as the fraction bar.

6/9+x=7/10

Answers

pretty sure the answer is

x = 1/30

Find the slope of 3y = 6x + 4

Answers

Answer:
The slope or m is 2

Explanation:
The full answer is y = 2x + 4/3

Slope being 2 as y = mx + b

And the slope is m

The answer to this question

Answers

bxksbxksnx chofndjkcjxjjsnck

PLS ANSWER QUICK, HELP AND EXPLAIN

Answers

Answer:

48 squared inches

Step-by-step explanation:

4x2x6 altogether is 48

Answer:

48 square in.

Step-by-step explanation:

2 × 6 = 12

12 × 4 = 48

so ur answer is 48 square inches

GUYS HELP!! What’s an equation that represents the line on the graph?

Answers

Answer:

Hey Mate...

Step-by-step explanation:

All that the slope-intercept form (the equation to describe linear equations) is, is an equation (y=mx+b) where m (the number that multiples x) is the slope and b (the number that is not multiplying a variable on the right-hand side of the equation) is the y-intercept.

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?

Answers

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

How to calculate LCD TV depreciation?

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39

Learn more about depreciation in: https://brainly.com/question/15085226

#SPJ1

When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8

Answers

Answer:

5/36

Step-by-step explanation:

Probability is the outcome that a  event will occur

Probability = Expected outcome/Total outcome

Since two sided dice are rolled, the total outcome will be expressed as;

Total outcome = 36

Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;

(2,6)(6,2), (5, 3), (3,5), (4, 4)

The expected outcome = 5

Probability = 5/36

Hence the probability that the sum is 8 is 5/36

Pls help


Due at 5


Plsssss (NO LINKS)

Answers

Answer: if it is -7+10 then it is 3

The local street cart sells bacon egg and cheese sandwiches for $2.50, and soft drinks for $0.75. The street vendor made a total of $933 after selling a total of 747 sandwiches and soft drinks.

thanks:b

Answers

Answer:

Step-by-step explanation:

Write a jingle to advertise
favorite dessert to the tune of
"Twinkle, Twinkle Little Star."
What is so special about this
dessert? How can you describe it
in a memorable, catchy way?

Y’all someone help no link ,will be reported

Answers

My Jingle:

Ice cream cake - oh, ice cream cake...

How I love the way you taste...

You melt in my mouth with every bite...

Dreams of you keep me up at night...

Ice cream cake - oh, ice cream cake...

How I love the way you taste.

I hope you like it!

WITH STEPS PLEASE CAN YOU HELP

Answers

4
Because u multiply 2 by 4 =8 and 8 is less than ten the sign represents less than or equal to so 8

Without graphing, tell whether the line containing (6. -3) and (0, -8) is horizontal, vertical, or neither.
A neither
O B. vertical
ci horizontal

Answers

The best answer to go with is b your welcome

5 divided by 1/4
go straight to the answer

Answers

Answer:

20

Step-by-step explanation:

add;200g+0.04kg=-----------dag

Answers

It's 200.04 dag

blah blah

Answer:

0.240kg

Step-by-step explanation:

the reason for this is because my teacher taught me this:

KHDMDCM

       L

       G

so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg

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