What is the least common multiple of 5 and 2

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

<img src="https://tex.z-dn.net/?f=x%20-%204%20%3D%2018" id="TexFormula1" title="x - 4 = 18" alt="x - 4 = 18" align="absmiddle" c

lesantik [10]

It should be 15 xymanajsdfood

7 0

4 years ago

Read 2 more answers

Describe how equality and democracy represent traditional American values,

user100 [1]

Answer:

The United States was founded on "equality". Our Declaration of Independence was created to ensure the rights given to us as American citizens and state what must be upheld to protect these rights. Equality comes from a very valued form of Government in America called Democracy. Americans are given the right to freedom of speech, and this represents traditional American values.

4 0

3 years ago

A candle shop sells scented candles for $16 each and unscented candles for $10 each.The shop sells 28 candles today and makes $4

Greeley [361]

The system of equations becomes: s + u = 28 This represent the number of candles sold16s + 10u = 400 This represents the value of the candles sold--------------------- Now all that is left is to solve for s and u. I suggest eliminating one of the two variables. My choice would be eliminating the u terms.

3 0

3 years ago

Read 2 more answers

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind

liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± $t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )$