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
Montano1993 [528]
3 years ago
5

Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo

r business at 11:00 am. (Assume that customers will stay long enough). Find the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am.
Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

You might be interested in
Please help!!!!!! Please!
Nikolay [14]

Answer:

you have to divide is bye 4 to get the answer

Step-by-step explanation:

1.56

8 0
2 years ago
What is the realationship between the volume of a cone and the volume of a sphere
patriot [66]
Depending on the size, the cone would have more volume
6 0
3 years ago
The function (f)x = 14.5-0.25x
marin [14]

Answer:

the answer i got is X=58/5

Step-by-step explanation:

hope this helps

8 0
2 years ago
The length of a quarter is 0.955 inch round the length of a quarter to the nearest tenth of an inch
N76 [4]

The length of a quarter is 0.955 inch round the length of a quarter to the nearest tenth of an inch. Answer is 1.000

7 0
2 years ago
The number c increased by two is equal to fourteen
julia-pushkina [17]

Answer:

c = 12

Step-by-step explanation:

c = 14 - 2

6 0
2 years ago
Other questions:
  • Which number is equivalent to 3^4/3^2
    7·1 answer
  • HELP!!!!<br><br> I need an answer soon, please!!!<br><br> I will give Brainliest!!!!
    6·1 answer
  • In the triangle shown above, if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing in unit
    8·1 answer
  • 1.5d+3.25=1+2.25d. What is d?
    14·2 answers
  • Explain why the graph shown may be misleading. (please help)
    8·2 answers
  • What is the value of x?
    11·1 answer
  • PLS HELP! DUE TODAY
    8·2 answers
  • Factorise fully (please help) ​
    12·1 answer
  • Pls help me due Tuesday
    10·1 answer
  • Find the value of x. Then find the angle measures of the polygon.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!