If p = 1.7 % and n = 200, is the Poisson distribution a reasonable approximation of the binomial
distribution?
er
yes
no
What is the mean of this binomial distribution (and the mean of the Poisson distribution used to
approximate it)?
mean -
(Round to 1 decimal place)
What is the actual mean of this binomial distribution?
standard deviation (actual) =
(Round to 2 decimal places)
What is the standard deviation for the Poisson distribution?
standard deviation (approximate) -
(Round to 2 decimal places)
Are these values in reasonable agreement?
yes
no

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

bc i know

Answer 2

Answer:

Trong lý thuyết xác suất và thống kê, Phân phối Poisson (phân phối Poa-dông) là một phân phối xác suất rời rạc. Nó khác với các phân phối xác suất rời rạc khác ở chỗ thông tin cho biết không phải là xác suất để một sự kiện (event) xảy ra (thành công) trong một lần thử như trong phân phối Bernoulli, hay là số lần mà sự kiện đó xảy ra trong n lần thử như trong phân phối nhị thức, mà chính là trung bình số lần xảy ra thành công của một sự kiện trong một khoảng thời gian nhất định. Giá trị trung bình này được gọi là lamda, ký hiệu là {\displaystyle \lambda }\lambda .

Phân phối Poisson còn được dùng cho khoảng mà đơn vị khác thời gian như: khoảng cách, diện tích hay thể tích. Một ví dụ cổ điển là sự phân rã hạt nhân của các nguyên tử.

Phân phối này được tìm ra bởi nhà toán học Siméon-Denis Poisson (1781–1840) và đã được xuất bản cùng với lý thuyết xác suất của ông, vào năm 1838 với tựa đề Recherches sur la probabilité des jugements en matières criminelles et matière civile ("Research on the Probability of Judgments in Criminal and Civil Matters"). Theo đó, nếu xem xét một biến ngẫu nhiên N nào đó, và đếm số lần xuất hiện (rời rạc) của nó trong một khoảng thời gian cho trước. Nếu giá trị kì vọng (hay số lần trung bình mà biến ngẫu nhiên đó xảy ra trong khoảng thời gian đó là λ, thì xác suất để cũng chính sự kiện đó xảy ra k lần (k là số nguyên không âm, k = 0, 1, 2,...) sẽ được tính theo công thức

{\displaystyle f(k;\lambda )={\frac {\lambda ^{k}e^{-\lambda }}{k!}},\,\!}{\displaystyle f(k;\lambda )={\frac {\lambda ^{k}e^{-\lambda }}{k!}},\,\!}

Step-by-step explanation:


Related Questions

Ross resides in an apartment where houses are arranged horizontally. She resides at door number 3.if she want to visit her friend Martha at door number 7, how many house should she Cross?

Answers

Answer:

3 doors if we are excluding her own. 4 if we are not.

4, 5, 6. she does not pass 7, she enters 7.

3, 4, 5, 6. it could be argued she must first pass her own door.

that context changes the answer.

Please Help!
find the value of x
round to the nearest tenth as needed​

Answers

Answer:

237.9 yards

Step-by-step explanation:

90-23=67

cos 67⁰=x/610

x=610 cos 67

x= 610 x 0.39

x=237.9 yards

You are using a 0.5-gallon pitcher to make smoothies. You fill 0.3 of the pitcher with milk.How many gallons of milk did you use?

Answers

9514 1404 393

Answer:

  0.15 gallons

Step-by-step explanation:

0.3 of 0.5 is ...

  0.3 × 0.5 = 0.15

You used 0.15 gallons of milk.

In a certain armithmetic sequence , if -4 is the first term , and 10 is the third term, which term is 157?

Answers

Answer:

157 is the 24th term.

Step-by-step explanation:

We are given that in an arithmetic sequence, -4 is the first term and 10 is the third term. And we want to find the term number of 157.

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We know that the initial term a is -4. Hence:

[tex]x_n= -4 + d(n-1)[/tex]

Since 10 is the third term, n = 3:

[tex]\displaystyle x_{3}=10=-4+d(3-1)[/tex]

Solve for the common difference:

[tex]14=2d\Rightarrow d=7[/tex]

Hence, our direct formula is:

[tex]\displaystyle x_n=-4+7(n-1)[/tex]

To find the term number of 157, let 157 equal xₙ and solve for n. Hence:

[tex]\displaystyle (157)=-4+7(n-1)[/tex]

Therefore:

[tex]\displaystyle \begin{aligned} 161 &= 7(n-1) \\ 23 & = n-1 \\ n &= 24\end{aligned}[/tex]

157 is the 24th term.

Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 22 nights (excluding tax) was $3,100. Determine the number of nights that she spent in each city.

Answers

Answer:

C. 6 nights in Washington, 4 nights in Atlanta, and 12 nights in Dallas

Step-by-step explanation:

please help, it’s urgent !

Answers

Answer:

Domain of piece 1: [-4, -1)

Domain of piece 2: [-1, 1)

Domain of piece 3: [1, 5]

Step-by-step explanation:

Domain means x-values, so look along the x-axis and see where each of the pieces/segments start at end in terms of x values.

Hope that helps (●'◡'●)

What is the value of n?

4/5 < n/7 < 8/9
( n has to be greater than 4 but less than 8 )​

Answers

Answer:

n = 6

Step-by-step explanation:

If n/7 < 8/9, then n/7 < 1

n/7 < 1

n < 7

That leaves us with 5 and 6. With this, we use trial and error.

4/5 > 5/7 (not we want)

4/5 < 6/7 (what we want)

The answer is 6/7 or n = 6

If f (x) = x^2+8 then what is f (x+2)?

Answers

Answer: [tex]x^2+4x+12[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+8\\f(x+2)=(x+2)^2+8\\f(x+2)=x^2+4x+4+8\\f(x+2)=x^2+4x+12[/tex]

The absolute value function, f(x) = |x + 2|, is shown.


If the graph is reflected over the x-axis, what is the domain of the function?

all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to –2
all real numbers less than or equal to –2

Answers

Answer:

a

Step-by-step explanation:

The graph is upside down, but it will go past all x-values

If it is reflected over the x axis, the only thing that is affected is the output/ y values. So in this case the domain would be all real numbers.

The diameter of a circle is 10 meters what is the angle of an arc 3pie meters long

Answers

Answer:

10 meaters yes these answer is correct

what is an example of a quadratic equation that has 10 solutions

Answers

Answer:4

Step-by-step explanation:

but they said it was a different day and they didn’t need to be in a position lol I just got the message and they sent it

A kite is shown. Lines are drawn from each point to the opposite point to form a letter t.
A company designs a logo using a kite figure around the letter t.

The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?

48 sq. cm
96 sq. cm
144 sq. cm
192 sq. cm

Answers

192 sq. Cm
(12)(16) = 192

Answer:

the answer is 96 sq. cm or B

Step-by-step explanation:

The shiny silver mouse has a population mean size of 8.3 cm and and a population standard deviation of 1.2 cm. If one individual is sampled from the population what is the probability that it will be greater than 9 cm

Answers

Answer:

41.67%

Step-by-step explanation:

[tex]Z = \frac{x-\alpha}{\sigma}[/tex]     9-8.3 = 0.7/1.2 = 0.5833  1-0.5833 = 0.4167*10 = 41.67%

The probability of the individual sample which is greater then 9 cm is 0.2799601 .

What is probability?

'Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the total number of cases possible.'

According to the given problem,

μ = 8.3 cm

σ = 1.2 cm

X ≈ N[tex](0,1)P(X < x )[/tex]

= P(Z = X - μ / σ)

here , X ≈ N (8.3 , [tex](1.2)^2)P(X > 9)[/tex]

= P[tex](Z > \frac{9-8.3}{1.2})[/tex]

⇒ P[tex](Z>0.583333)[/tex]

⇒ 1 - P[tex](Z<0.583333)[/tex]

⇒ 1 - 0.7200399 [ for greater surface area of the bell-curve ]

⇒ 0.2799601

Hence, we can conclude, the probability of individual sample is 0.2799601 .

Learn more about the probability here :brainly.com/question/23211929?#SPJ2

Which equation represents the graphed function? 5 O y = 4x - 2 O y=-4x-2 O y = x=2 5 4 3 2 1 23 (4, -1) O y=-x-2 0,-2) 097​

Answers

Answer :The correct equation is the third option : y = (1/4)x - 2

What is the solution of the equation −x2 − 2x = 5?

Answers

Answer:

No Real Solutions

Step-by-step explanation:

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 over q and tan y° = 7 over r, what is the value of sec y°?
sec y° = q over r
sec y° = 7r
sec y° = 7q
sec y° = r over q

Answers

Answer:

[tex]\sec y=\dfrac{q}{r}[/tex]

Step-by-step explanation:

Given that,

[tex]\sin y=\dfrac{7}{q}[/tex]

and

[tex]\tan y=\dfrac{7}{r}[/tex]

We need to find the value of [tex]\sec y[/tex]. We know that,

[tex]\sec\theta=\dfrac{1}{\cos\theta}[/tex]

Also,

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\cos\theta=\dfrac{\sin\theta}{\tan\theta}[/tex]

Substitute all the values,

[tex]\cos y=\dfrac{\dfrac{7}{q}}{\dfrac{7}{r}}\\\\=\dfrac{7}{q}\times \dfrac{r}{7}\\\\\cos y=\dfrac{r}{q}[/tex]

So,

[tex]\sec y=\dfrac{1}{\dfrac{r}{q}}\\\\\sec y=\dfrac{q}{r}[/tex]

So, the correct option is (a) i.e. [tex]\sec y=\dfrac{q}{r}[/tex].

The area of square A is 40ft^2 . The area of square B is 250% of the area of square A. What is the length of one side of square B?

Answers

Answer:

Step-by-step explanation:

We are given the area of square A as 40 ft². Then we are told that the area of square B is 250% of A's area. The equation in words that we are going to be using is:

Area of square B = 2.5 × Area of square A where the word "is" is replaced by an equals sign, and the word "of" is replaced by a multiplication sign. We know that the area of A is 40, so:

Area of square B = 2.5(40) and

Area of square B = 100 ft²

The area formula for a square is A = s², so if the Area is 100:

100 = s² so

s = 10ft

Michael invest $P at a rate of 3.8% per year compounded interest. After 30 years the value of this investment is $1,469. Calculate the value of P.​

Answers

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t)=P(1+r)^t[/tex] and we have everything but the P. Filling in:

[tex]1469=P(1+.038)^{30[/tex] and

[tex]1469=P(1.038)^{30[/tex] and

1469 = P(3.061403718) so

P = 479.85

A research center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,620 of the respondents think the future health of Social Security is a major economic concern. (a) What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern

Answers

Answer:

0.81

Step-by-step explanation:

Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

1,620/2,000

= 0.81

So, the point estimate is 0.81

Evaluate 4log4(3,100)

Answers

Answer:

[tex]{ \tt{4 log_{4}(3100) }} \\ = { \tt{4 log_{4}(775 \times 4) }} \\ = { \tt{4 log_{4}(775) + 4 log_{4}(4) }} \\ = { \tt{4( (\frac{ log_{10}775 }{ log_{10}4 } ) +1)}} \\ = { \tt{4(4.8 + 1)}} \\ = { \tt{23.2}}[/tex]

Translate the sentence into a sentence Six more than the quotient of a number and 4 is equal to 8

Answers

Answer:

[tex] \frac {x}{3} + 6 = 8 [/tex]

Step-by-step explanation:

Let the unknown number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; [tex] \frac {10}{5} = 2[/tex]

Hence, translating the word problem in this scenario into an algebraic expression, we have;

[tex] \frac {x}{3} + 6 = 8 [/tex]

Simplifying further, we have;

[tex] \frac {x}{3} = 8 - 6 [/tex]

[tex] \frac {x}{3} = 2 [/tex]

Cross-multiplying, we have;

x = 3 * 2

x = 6

Is y=0.375x a nonproportional relationship

Answers

Answer:

No

Step-by-step explanation:

y=0.375x is a proportional or linear relationship because y is a consant multiplied by the variable x. In other words, x increases with y at a linear rate, therefore being proportional.


No it is not a non proportional relationship

I need help solving this problem

Answers

Answer:

300

Step-by-step explanation:

Suppose an annuity pays 6% annual interest, compounded semi-annually. You invest in this annuity by contributing $4,500 semiannually for 6 years. What will the annuity be worth after 6 years?

Answers

Answer:

$3240

Step-by-step explanation:

hope it is well understood

Answer: 59300

Step-by-step explanation:

Write each question as a single logarithm (Picture attached)

Answers

Answer:

a.

[tex] log_{5}( {u}^{3 \times {v}^{4} } ) [/tex]

b.

[tex] ln( \frac{1}{( {x}^{2} - 2x + 1 } ) [/tex]

c.

[tex] log_{2}(x { \sqrt{3x - 2} }^{4} ) [/tex]

Aaron surveyed a group of students about the number of pets they own. He recorded the data in the dot plot below.

Answers

Answer:

Step-by-step explanation:

18,  count the dots. The number line aka 0-7 is just showing the number of possible pets a person could have

The dimensions of a garden are 30' by 20'. If a model garden with the scale of 10' = 5'' is to be made, find the dimensions of the model.

Answers

Answer:

15" by 10"

Step-by-step explanation:

Use a proportion.

10'/5" = 30"/x

10x = 5 * 30

10x = 150

x = 15"

10'/5" = 20'/y

10y = 5 * 20

10y = 100

y = 10"

Answer: 15" by 10"

Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced tea with 909090 tea bags. What will Kermit think of Peggy's iced tea?
A. It is too strong.
B. It is too weak.
C. It is just right.

Answers

Answer:

C. It is just right

Step-by-step explanation:

Kermit's Favorite iced tea:

Tea bags = 15

Water = 2 liters

Ratio of tea bags to water = 15 : 2

= 15/2

= 7.5

Peggy:

Tea bags = 90

Water = 12 liters

Ratio of tea bags to water = 90 : 12

= 90/12

= 7.5

C. It is just right

Kermit would think of Peggy's iced tea is just right

Answer:

c

Step-by-step explanation:

(ax=1/2x)+((-3/5)+21/5

Answers

The answer is X=-5/36

On the first day of vacation, Morales family drove 312 miles in 6hours. At the rate how far will they travel the next day if they drive for 8 hours?

Answers

Answer:

Assuming a constant rate of travel that is the same as yesterday, 416 miles in 8 hours.

Step-by-step explanation:

We are assuming that the first day's rate will be used in the second. After that, it is a proportions question. We divide 312 by 6 to get 52 miles an hour. Then, we multiply 8 hours by 52 miles to get 416 miles 8 hours.

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