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
vekshin1
3 years ago
5

An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been p

laced. Suppose the orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains 800,000.
a. What is the probability that a technician is required after a one-week period?
b. If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?
Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

You might be interested in
The system of equation 3x-6y=30 and 2x-4y=3 is
Anna11 [10]
No solution as they are parallel lines. so, inconsistent
6 0
3 years ago
X/2+10=8.95 what is x and how did you find it
g100num [7]

Answer:

x =-2.1

Step-by-step explanation:

X/2+10=8.95

Subtract 10 from each side

X/2+10-10=8.95 -10

x/2 =-1.05

Multiply each side by 2

x/2*2 =-1.05*2

x =-2.1

7 0
3 years ago
Read 2 more answers
1,write the successor of-5 and predecessor of 6 then add them
Alona [7]

#1

  • Successor of -5=-4
  • Predecessor of 6=5

\\ \tt\hookrightarrow -4+5=1

#2

  • Let one be x and other be x-1

\\ \tt\hookrightarrow a-b=x-x+1=+1

#3

\\ \tt\hookrightarrow 42-66-(100-24)

\\ \tt\hookrightarrow -24-76

\\ \tt\hookrightarrow -100

3 0
2 years ago
Read 2 more answers
What is the volume???
ANTONII [103]

Answer:

80 cm^3

Step-by-step explanation:

In order to find the volume of an object, you must multiply the length x width x height of the object. In the case of this pyramid, you also must multiply by 1/3 in the end. This looks like 5x6x8x(1/3) = 80 cm^3

7 0
3 years ago
Read 2 more answers
Explain how to add +20 and -36. GIVING BRAINLIEST TO WHOEVER GIVE THE RIGHT ANSWER!!! :)
Sonja [21]

Answer:

-16

Step-by-step explanation:

In this problem, we are adding a negative integer and a positive integer. From this, we already know that the sum will be negative. (- plus + = -)

Since 20 is positive, you can remove the plus sign so your equation looks like

20 - 36

Next, subtract to get -16

~theLocoCoco

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of w in the following formula when L=26 cm and p=80cm?<br> P=2l+2w
    6·1 answer
  • Mutiply the expression 2 (7n-11)
    12·1 answer
  • A graph with no breaks in it
    9·1 answer
  • The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 ha
    7·1 answer
  • What is the measure for the following ∠?<br> m∠BOA<br><br> 20<br> 40<br> 60
    11·1 answer
  • Solve the equation<br> 5x=-7x+6
    15·2 answers
  • Expand and simplify completely <br><br> (z+6)(z+6)<br><br><br> (x+5)(x+5)
    8·1 answer
  • Anyone good at 8th grade math please help out
    9·1 answer
  • The point C(-3, -1) is rotated 180 degrees clockwise about the origin. What are the coordinates of the resulting point, C
    11·1 answer
  • Can someone plz help with this? Thank you so much.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!