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3 years ago

Please help!! Due tomorrow!!!!!

Mathematics

1 answer:

zlopas [31]3 years ago

6 0

Answer:

Answer is A

Step-by-step explanation:

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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 X = 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

Which of the following expressions is equivalent to log 5 - k log 2? Select one answer

jasenka [17]

Answer:

Step-by-step explanation:

log5- klog2= log5-log2^k = log(5/2^k)

4 0

2 years ago

A package of 4 pairs of insulated socks costs "$31.16." What is the unit price of the pairs of socks?

padilas [110]

Answer:

$7.79 per pair of socks

Step-by-step explanation:

4 0

3 years ago

Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form

Leokris [45]

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is $\dfrac{1}{9}$ .

Step-by-step explanation:

Formula for gradient of a line segment :

$\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}$

Given points of the line segment: (-5,2) and (4,3)

$\text{Gradient} =\dfrac{3-2}{4-(-5)}$

$\text{Gradient} =\dfrac{1}{4+5)}$

$\text{Gradient} =\dfrac{1}{9}$

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is $\dfrac{1}{9}$ .

7 0

3 years ago

This question is called "Convert units multi-step word problems (US customary)". Need help for this!!

olga nikolaevna [1]

6 quarts

Step-by-step explanation:

1 quart is shared to his neighbour.

14-2

12/ 2 pits

6 pits

6 0

4 years ago