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
Marianna [84]
2 years ago
15

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

ty of the following events.
a. No accidents occur in one week.
b. 5 or more accidents occur in a week.
c. One accident occurs today.
Mathematics
1 answer:
Mariana [72]2 years ago
5 0

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

You might be interested in
What are the slope and y-intercept of the line?
fiasKO [112]

Answer:

i justr f arted really loud LOL

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is 18.386 rounded to the nearest Hundred
jonny [76]
This will be 18.39, 6 is higher than 5, so the 8 is going higher so it's a 9 and you will get 18.39
8 0
3 years ago
Please help!!!!!
Art [367]
The answer to the question is a
6 0
2 years ago
Luanda wants to buy a box of cereal. Which box has the lowest cost per ounce? Group of answer choices 20-oz box for $3.20 10-oz
marin [14]

Answer: 15-oz for 2.25

3.20÷20= 0.16

1.70÷10= 0.17

2.25÷15= 0.15

2.72÷16= 0.17

I hope this helps:

3 0
2 years ago
What is the first step?<br><br> 4x+y=9<br><br> −x+y=7 <br><br> Help Me Out Please!
KonstantinChe [14]

Answer:

Combine like terms.

Step-by-step explanation:

3x+2y=16

6 0
3 years ago
Read 2 more answers
Other questions:
  • Oro's book club was offering a special on books this month. He bought 5 for $0.98 each and then a regular book for $19.29. His t
    7·1 answer
  • Please help
    13·1 answer
  • The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
    9·2 answers
  • Determine if each rectangle is a scale drawing of the given rectangle. Explain why or why not.
    8·1 answer
  • 1000 students participated in a survey on a university campus about their TV watching habits. All
    8·1 answer
  • PLEASE HELP THIS IS SUPER URGENT
    12·2 answers
  • The length of a rectangle is 5m greater than its width and its area is 6m2. Find its dimensions.
    7·1 answer
  • I did the other problems but I dont know these can someone please help me?
    15·2 answers
  • I desperately need help ILL GIVE BRAINLIEST AND 50 points
    10·1 answer
  • Please solve the table correctly &lt;3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!