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
marysya [2.9K]
3 years ago
7

A store opens at 8am. From 8 until 10 customers arrive at a Poisson rate of four an hour. Between 10 and 12, they arrive at a Po

isson rate of eight an hour. From 12 to 2, the arrival rate increases steadily from eight per hour at 12 to ten per hour at 2; and from 2 to 5 the arrival rate drops steadily from ten per hour at 2 to four per hour at 5. Determine the probability distribution of the number of customers that enter the store on a given day.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

Answer:

The probability distribution of the number of customers that enter the store on a given day is:

P(x=k)=\frac{57^ke^{-57}}{k!}

Step-by-step explanation:

To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.

This can be done with the data given:

1) From 10 to 12, 8 arrival/hour:  16 expected arrivals in this period

2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.

3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.

The total expected arrivals in a day are: 16+20+21=57 arrivals/day.

Then, the probability distribution of the number of customers that enter the store on a given day is:

P(x=k)=\frac{57^ke^{-57}}{k!}

You might be interested in
What is the greatest integer solution of 5-3m<11
ki77a [65]
The solution to your problem is  m>-2
8 0
3 years ago
I need help plz ASAP
netineya [11]

Answer: x=8

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360  (number of sides-2 * 180)

so

14x-7+11x-2+93+76= 360\\25x + 160=360\\25x= 200\\x=8

4 0
2 years ago
Read 2 more answers
Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2
Vedmedyk [2.9K]

Answer:

y = \frac{1}{2} x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = \frac{1}{2}, hence

y = \frac{1}{2} x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = \frac{1}{2} x + 7 ← equation in slope-intercept form


4 0
2 years ago
WILL MARK BRAINLIEST!!!!!!!!!!!!
aalyn [17]

Answer:

x+y=1+3

Step-by-step explanation:

6 0
3 years ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
GalinKa [24]

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

7 0
3 years ago
Other questions:
  • In Triangle ABC, AB = 10. AC = 14, and angle A = 51°. Find the length of BC to the nearest hundredth
    7·2 answers
  • 16. Afla numărul necunoscut:
    13·1 answer
  • I really really need help with proving this using a two column proof:
    6·1 answer
  • Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost functio
    11·2 answers
  • What does x in this equation<br>2x-3=6​
    10·2 answers
  • 99 pints = how many quarts
    8·2 answers
  • The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of
    10·1 answer
  • What is the slope of the line 3x – 9y = 4?
    11·1 answer
  • Find the value of x.<br> 7<br> Х<br> 3<br> Z<br> X =√[?]<br><br> Pls help explain !!
    11·1 answer
  • Name:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!