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2 years ago

This graph shows a proportional relationship.

Mathematics

1 answer:

Artemon [7]2 years ago

7 0

It a keep on the work

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

attashe74 [19]

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.

6 0

3 years ago

-k+3k combine like terms to create an equivalent expression

Nimfa-mama [501]

Answer:

Step-by-step explanation:

3k and -k are both like terms, so you can combine them. Adding opposite signs works in the same way as subtraction, so you can rewrite the expression as 3k-k, which is 2k.

8 0

4 years ago

NEED HELP ASAP What is the perimeter of the triangle

marin [14]

Answer:

its a right angle and a its an acute angle as well so it be 5

8 0

3 years ago

What is<br> 15/100<br> as a percentage?

Lunna [17]

Answer:

15%

Step-by-step explanation:

hope i helped!! please follow ❤❤

7 0

3 years ago

Read 2 more answers

HELP. How do i convert $1.34 into a percent %

Lelechka [254]

Ok. So, say you have 1 whole. If you take half of that it would be 50% or 0.50 of the whole. So with 1.34 you can turn it into 1 and 0.34. You have one whole, so that is 100 percent. You than add the 34 hundredths which is 34 percent. So you have 134%. Do you understand all that?

7 0

3 years ago

Read 2 more answers