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
scoray [572]
3 years ago
15

In one town, the number of burglaries in a week has a poisson distribution with a mean of 1.9. find the probability that in a ra

ndomly selected week the number of burglaries is at least three.
Mathematics
1 answer:
tester [92]3 years ago
5 0

Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9

We have to find the probability that in a randomly selected week the number of burglaries is at least three.

P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........

= 1 - P(X < 3)

= 1 - [ P(X=2) + P(X=1) + P(X=0)]

The Poisson probability at X=k is given by

P(X=k) = \frac{e^{-mean} mean^{x}}{x!}

Using this formula probability of X=2,1,0 with mean = 1.9 is

P(X=2) = \frac{e^{-1.9} 1.9^{2}}{2!}

P(X=2) = \frac{0.1495 * 3.61}{2}

P(X=2) = 0.2698

P(X=1) = \frac{e^{-1.9} 1.9^{1}}{1!}

P(X=1) = \frac{0.1495 * 1.9}{1}

P(X=1) = 0.2841

P(X=0) = \frac{e^{-1.9} 1.9^{0}}{0!}

P(X=0) = \frac{0.1495 * 1}{1}

P(X=0) = 0.1495

The probability that at least three will become

P(X ≥ 3 ) = 1 - [ P(X=2) + P(X=1) + P(X=0)]

= 1 - [0.2698 + 0.2841 + 0.1495]

= 1 - 0.7034

P(X ≥ 3 ) = 0.2966

The probability that in a randomly selected week the number of burglaries is at least three is 0.2966

You might be interested in
Help please 11 POINTS
Y_Kistochka [10]
57.10
70.9
these are only the answers for the first two problems
4 0
3 years ago
Read 2 more answers
7x+27x+2 from -5x^2-2x<br> ADDING AND SUBTRACTING POLYNOMIALS
maksim [4K]

Answer:

7x+27x=34x

34x+2-(-5×^2)-2x

34x+2+5x^2-2x

34x+2x=36x

36x+2+5x^2

6 0
3 years ago
WORD PROBLEMS
kotegsom [21]

Answer:

The answer is

Step-by-step explanation:

Step by step

3 0
3 years ago
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 o
Rainbow [258]

he initial number of trees was 204.

<h3>How to find the initial number of trees?</h3>

The first step to finding the initial number of trees is to write an equation that represents the situation.

  • T is equal to the initial number of trees.
  • 5 trees were removed = t - 5
  • Each tree produces 210 oranges = (t-5) (210)
  • The total of oranges is 41,780 = (t-5) (210)= 41,780

  • Solve the equation:

  • (t-5) (210)= 41,780
  • t-5= 41,780 / 210
  • t-5 = 198.95
  • t = 198.95 + 5
  • t = 203.9

This number can be rounded as 204.

Note: This question is incomplete; here is the missing section:

Find the initial number of trees.

Learn more about equation in: brainly.com/question/2263981

6 0
2 years ago
Help pleaseeeeeeeeeeeeeeeeeeeee
Svetach [21]

Answer:

2/11 will be your answer :)

Step-by-step explanation:

Hope this helps ✨

6 0
3 years ago
Read 2 more answers
Other questions:
  • How many 8 inch square tiles will it take to cover a rectangular kitchen floor that is 8 feet wide and 10 feet long?
    12·1 answer
  • 3x 2 + 2x - 5 and -4 + 7x 2
    12·2 answers
  • What is the y-value in the solution to this system of linear equations?
    8·1 answer
  • What is the slope of the line represented by the equation y = –1/2x+1/4?
    6·1 answer
  • Which of the trinomials below has 3x^2the GCF of its terms?
    5·1 answer
  • Cine ma poate ajuta?
    13·1 answer
  • A +-21 = -38<br><br>help me please​
    7·2 answers
  • I NEED HELP ASAP WILL GIVE BRAINLYEST
    5·1 answer
  • Last year, the number of students at RSM increased by 100%. This year, the number of students increased by 150%. What percent of
    11·1 answer
  • HELP ASAp!!! Will give brainlest. Find all solutions of the equation in the interval
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!