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
Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and
sesenic [268]

Answer:

d. 443.73

Step-by-step explanation:

i got it right on the test

6 0
3 years ago
Help help help help what is the answer −5(4x−3)−x+5=190!!!
artcher [175]
X=8.5
190-5=185
185/-5=-37
-37-3=-34
34/4=8.5

8 0
3 years ago
Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression −2(3)^n − 1.
Kazeer [188]
The sum if the geometric sequence given by:
an=-2(3)^(n-1)
will be:
when:
n=1
an=-2
when n=2
a2=-6
when n=3
a3=-18

when n=4
a4=-54

when n=5
a5=-162

when n=6
a6=-486

when n=7
a7=-1458

when n=8
a8=-4374

thus the summation of the term will be:
Sn=(-4374+-1458+-486+-162+-54+-18+-6+-2)
Sn=-6560
the answer is -6560

6 0
3 years ago
Pls help.
tino4ka555 [31]

Answer:

A.orange juice

F.Gasoline

H.Honey ​

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Daniel's father worries that his son is not a motivated student, especially after observing his study habits for a week.
lesya [120]
The answer would be C because he did not correct his mistakes that he had made
4 0
3 years ago
Other questions:
  • What is the solution of -14+x=23
    8·2 answers
  • Pants cost $18.50 and it is 25% off, what is the cost?
    12·2 answers
  • a factory produces 30480 bolts in 12 hours. if the same number of bolts are produced each hour, how many bolts does the factory
    11·1 answer
  • Express the tax rate of $4.95 per $100 as a percent
    10·1 answer
  • I need help with this problem (it's number 3)
    15·1 answer
  • Which graph shows y= 1/2x (x)
    6·1 answer
  • How many terms are in this expression?<br> 1 + 9 + 3u<br> Submit
    10·1 answer
  • What is 100 divide bye 257? please explain your answer
    11·2 answers
  • PLEASEE HELP MEEE<br> I need help with my math homework
    8·1 answer
  • How to get ride of acne
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!