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
Katyanochek1 [597]
3 years ago
8

The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays. Assuming the

number of accidents on a day follows a Poisson distribution.
What is the probability there are no car accidents on that stretch on Monday?
Mathematics
1 answer:
AysviL [449]3 years ago
5 0

Answer:

1.83% probability there are no car accidents on that stretch on Monday

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.

This means that \mu = 4

What is the probability there are no car accidents on that stretch on Monday?

This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4}*(4)^{0}}{(0)!} = 0.0183

1.83% probability there are no car accidents on that stretch on Monday

You might be interested in
What is 1.583 converted into a fraction
Komok [63]

Answer: if im not wrong it would be 1583/1000

Step-by-step explanation:

4 0
3 years ago
The table shows the distances and times that four rowboats traveled. Which rowboat was the fastest?
Natali [406]
Um where is the table at
 
5 0
3 years ago
Read 2 more answers
Translate the following points 5 units up. <br> (-5, -2) (-2, 1) (-4, -7)
makkiz [27]
(-5, 3) (-2, 6) (-4, -2)
those will be your answers
8 0
3 years ago
Can someone help me please I’ll give brainly!
sergeinik [125]

Step-by-step explanation:

3, -12,7should be the correct answers

5 0
2 years ago
From 1940 to 1980, the consumer price index (CPI) increased from 28.6 to 89.4. If a gallon of milk cost $0.75 in 1940 and the pr
devlian [24]
28.6 / 89.4 = 0.75 / x
cross multiply
28.6x = 67.05
x = 67.05 / 28.6
x = 2.34 <==
5 0
3 years ago
Other questions:
  • 4。<br> 7.28<br> -4.9_ <br> Find the difference
    5·1 answer
  • What is 3a+2b-5a+b simplified?
    5·2 answers
  • Round 29.315 to the nearest hundredth
    7·1 answer
  • Find the regular price. Round to the nearest cent . Sales price is 56.78 percent discount is 40%
    11·1 answer
  • 4y-6 = 2y +8<br> I need helppp
    11·2 answers
  • 30+12=?(5+2)<br> what factor is missing from the equation?
    11·2 answers
  • Helppppp pleaseeee xxxx
    13·1 answer
  • What is the solution to this inequality?
    13·1 answer
  • Consider 2 3/4 divided by 1/8.
    15·1 answer
  • Which equation has roots of 13 and -3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!