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
tino4ka555 [31]
3 years ago
10

In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that

the number of soldiers killed by horse kicks each year in each corps in the Prussian cavalry followed a Poisson distribution with a mean of 0.62.
(a) What is the probability of more than one death in a corps in a year?

(b) What is the probability of no deaths in a corps over 7 years?

Round your answers to four decimal places (e.g. 98.7654).
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable X\sim Poisson(\lambda = 0.62).

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

             = 1 - P (X = 0) - P (X = 1)

             =1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: \lambda=7\times0.62=4.34

Compute the probability of no deaths in a corps over 7 years as follows:

P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

You might be interested in
What is the percent change from 147 to 298? Round your answer to the nearest tenth.​
ASHA 777 [7]

Answer:

   

(147 - 298)/298 x 100

   

-151/298  × 100

Change ≈ -50.6711%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Is negative 5/16 greater less than or equal to negative 8/25
Bezzdna [24]

Answer:

-5/16 > -8/25

Step-by-step explanation:

125/400 > -128/400

so...

-5/16 > -8/25

3 0
3 years ago
X^4 -(3m+2)x^2 +3m+1 +0 <br> tìm m để phương trình có 4 nghiệm phân biệt nhỏ hơn 2
Kobotan [32]

Answer:

3

4

4

3

4

4

3

5

5

3

4

5

5

4848

Step-by-step explanation:

hope I helped

8 0
2 years ago
2.1 , - 6/10 , -9/4 , -0.75 , 5/3 , least to greatest
WINSTONCH [101]

Answer:

-9/4, -0.75, -6/10, 5/3, 2.1

Step-by-step explanation:

This is a lot easier to figure out if you simplify the fractions and then change them to decimals

So -9/4 = -2 1/4 or -2.25

-0.75

-6/10 = -0.60

5/3 = 1 2/3 or 1.67

2.1

When you are ordering negatives, the biggest negative is the least. That is why -9/4 (-2.25) is the least number out of the five given.

The next one would be -0.75, because it is the second biggest negative fraction.

The next one is -0.60 because that is the 3rd biggest negative fraction (or the smallest because this is the last negative)

Now, because we're in the positives we start with 1.67, because it is smaller than the other number.

2.1 is our last number, so it is the greatest!

I hope this helped :)

6 0
3 years ago
The difference between the solutions to the equation x2 = a is 30. What is a? Show that your answer is correct
LUCKY_DIMON [66]
A would equal 60 because you would divide 60 by 2 there for getting 30

hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • The solution set for 7q2 − 28 = 0 is <br> (Separate the solutions with a comma)
    11·2 answers
  • A person invests 7500 dollars in a bank. The bank pays 4% interest compounded annually. To the nearest tenth of a year, how long
    7·1 answer
  • Which expression is equivalent to square root of -80
    10·2 answers
  • Me podrían ayudar plz​
    11·1 answer
  • The triangles below are similar.
    10·2 answers
  • Solve by elimination method 
    11·1 answer
  • If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to
    8·1 answer
  • How many minutes are in 3 5/12hours?
    8·1 answer
  • Is (-5,-5) a solution of y &gt; -2x+ 4<br> the &gt; has a line under it , greater than equal to
    9·1 answer
  • Fill in the blanks so the equation has NO SOLUTION.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!