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
sergey [27]
3 years ago
14

Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting

out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customers per minute.
(a) What is the mean or expected number of customers that will arrive in a five-minute period?
(b) Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period. If required, round your answers to four decimal places.
(c) Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur? If required, round your answer to four decimal places.
Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

2, 0.135, 0.270, 0.270, 0.180, 0.145

Step-by-step explanation:

1. To calculate the mean of people arriving in 5 minute period:

We know the arrival rate of minute is 0.4, so people arriving in 5 minutes will be

0.4 x 5 = 2

2. From part 1 it is known thay mean arrival time=2

For this we will use poisson's probability formula that is

P(X=x) = (2^x) x Exp^(-2/x!)

For X=0

P(X=0) = (2^0) x Exp^(-2/0!) = 0.135

For X = 1

P(X=1) = (2^1) x Exp^(-2/1!) = 0.270

For X = 2

P(X=2) = (2^2) x Exp^(-2/2!) = 0.270

For X = 3

P(X=3) = (2^3) x Exp^(-2/3!) = 0.180

3. For delay expected if more than 3 customer arrive in 5 minutes.

P(X>3) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)

P(X>3) = 1-0.135-0.270-0.270-0.180

P(X>3) = 0.145

You might be interested in
ANSWER ASAP DUE AT 3:00 PM
Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

2 fractions with the numerator and different denominators can be compared when you find the lowest common denominators (LCD. For example 1/2 and 1/3 have the same numerator, but the denominators are not so you have to find the LCD. The LCD, in this case, is 6, so the fractions would be 3/6 and 2/6 and now if you compare you can tell that 3/6 is greater than 2/6 so 1/2 is greater than 1/3.

4 0
3 years ago
Read 2 more answers
I need help now is due today!!!! : An animal shelter houses only cats and dogs, and there are 25% more cats than dogs. If there
bija089 [108]

Answer:

30 dogs

Step-by-step explanation:

There are 40 cats, and 25% more cats than dogs. If you find 25% of 40, you get 10. That means there are 10 more cats than dogs. 40-10= 30.

30 dogs.

6 0
3 years ago
(18)Calculate the volume of this shape
Nikolay [14]

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

5 0
2 years ago
A set of equations is given below.
spayn [35]

Answer:

2

Step-by-step explanation:

lucky guess from my boi tony

7 0
2 years ago
When Devon cashed a $450 check at the bank, the teller gave him 18 bills, all $20 bills and $50 bills. Which system of equations
Neporo4naja [7]
B is the answer to the equation
7 0
3 years ago
Other questions:
  • What is the best value 6 in 567,000
    15·1 answer
  • Three equivalent ratios of 10 to 15
    14·1 answer
  • A college has 1503 students, of which 5/9 are on modern apprenticeship courses. How many students are not on modern apprenticesh
    6·1 answer
  • Help please with work
    8·1 answer
  • A man's age is three years less than 4 times the age of his oldest daughter. What is age of his daughter
    7·1 answer
  • The speed of light is 3.0*10^8 m/s. Red light has a wavelength of 7 *10^-7 m. What is its frequency?
    6·1 answer
  • Graph the line given by x+y=-2 and the quadratic curve given by y=x²-4. Find all solutions to the system of equations. Verify yo
    8·1 answer
  • Please help!
    11·1 answer
  • Write the equation to find the missing side of this triangle.
    11·2 answers
  • Giving out the brainlest answer !!! help plsss ASAP !!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!