What is the formula for the variance of a probability distribution?

Answers

Answer 1

The general formula for the variance varies according to the distribution, For the discrete and continuous probability distribution, The expected values formula varies. The variance is given by [tex]E(X^{2})-(E(X))^{2}[/tex] .

What do you mean by probability distribution?

A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

If distribution is discrete  , E(X) = x*P(x).

If distribution is continuous , E(x) = x *f(x).

Variance =  [tex]E(X^{2})-(E(X))^{2}[/tex]

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Related Questions

Jon didn’t follow the order of operations. Explain what he did wrong.

Answers

If you show the question i can probably figure it out

Please Helppp pleaseeeeeeee pleaseeee

Answers

Answer:

Step-by-step explanation:

I can't see the screenshot

so like yeah

Round to the nearest tenth for the right triangle, wouldn't it be 20 or am I wrong?

Write this word sentence as an equation. 82 is the difference of a number b and 24

Answers

Answer:

106 - 24 = 82

Step-by-step explanation:

b = 106, solve 106 - 24 and you get 82.

Hope this helped.

Answer:

b/24=82

Step-by-step explanation:

Since the difference of an equation is the outcome of division we place 82 as the answer.  

Also, since 82 is greater than 24 we can assume that the variable "b" is larger than both 82 and 24.

thomas sold 412 boxes of cookies at a cost of 1175 what is an estimate closest to the cost of a box of cookies

Answers

Answer:

285

Step-by-step explanation:

1175 divided by 412 = 2.85194174757

that would be around 2.85

I believe it’s 2.8$ Just divide 1175 by 412 and you’ll get the answer

Can someone help me with this please!!!

Answers

Answer:

It's B

Step-by-step explanation:

Pls help! giving thanks. What is the slope of the line (picture above)

Answers

Answer:

[tex]slope = 1 [/tex]

Step-by-step explanation:

We can see that the graph cuts the x axis at , (-1,0) and y axis at (0,1) . So we can find the slope as ,

[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{ 1-0}{0+1} \\\\\implies\boxed{\boxed{ slope = 1 }}[/tex]

Can I Get Help Pls Damon drew a scale drawing of a swimming pool. The scale he used was 1 inch : 9 feet. The diving board is 2 inches long in the drawing. How long is the actual diving board?

Answers

Answer: 18 ft

Step-by-step explanation:

Given

Scale is 1inch:9 feet

1 feet= 12 inch

The dividing board is 2 inches long

Suppose the actual length of the diving board is x

[tex]\therefore \dfrac{1}{9\times 12}=\dfrac{2}{x}\\\\\Rightarrow x=\dfrac{9\times 12\times 2}{1}\\\\\Rightarrow x=216\ inch\ \text{or}\ 18\ ft[/tex]

The polygons are similar. Find the value of x.

Answers

Answer:11

Step-by-step explanation:

12/x= 24/22

Cross multiplication
24x= 264
x= 11

PLSSSS HELPPP ILL GIVEE COOKIE

Answers

Answer:

Sorry. It is 4.

Step-by-step explanation:

Again, where is my cookie?

i think the answer is four

The dimensions of a rectangle are shown. What is the area of the rectangle?
Your answer:
128xunits
8x + 10 units
16x + 20 units
15x2 + 46x + 16 units

Answers

Answer:

=(3x+8) (5x+2)

=15x2 + 46x + 16 units

i need help on my math test im not sure how to find the GCF of an equation so please help me

Answers

Answer:

2x^3

[tex]2x^{3}[/tex]

Describe how you know that (8+9)+3 is equivalent to 8+(9+3). What is the benefit to using this property

Answers

Answer:

Associative property of addition

Step-by-step explanation:

The associative property of addition is as follows :

a+(b+c) = (a+b)+c

We have,

a = 8, b = 9 and c = 3

So,

Using above property,

(8+9)+3 = 8+(9+3)

20 = 20

Hence, this is the required solution.

What is the square root of my juicy as.s


A.1000000000000
B.10
C.1
D.1000000000000000000000000000000000000000000000000000000

Answers

Answer:

Hi! The answer to your question is C. 1 But im pretty sure to have a square root...you have to have a square butt..

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

The answer is E.) 0

Step-by-step explanation:

Please, touch some grass.

Help me ASAP!!!!!!!

See pic attached

friend request me and I'll accept thanks xx

Answers

Step-by-step explanation:

cosA=b/h

cos41°=y/30

0.754=y/30

y=0.754×30

y=22.64

Answer:

y = x + 4

-3x + y = 2

x = -2y - 2

Step-by-step explanation:

1. Mr. Jackson took a cab from school to JFK Airport. The taxi fare was d dollars and he gave the
driver a 15% tip. Which of the following expressions can be used to describe the total fair? Select all
that apply.

Answers

Are there any choices?

please answer homework please answer all 3

Answers

Answer:

Question 1:  4 x 11

Question 2: x = 7

Question 3: 32x

Step-by-step explanation:


2. Felix visited a math website that featured
a random number generator. He used the
generator to create a list of five random
integers. felix found the correct sum of the five integers. what is the correct sum?

Answers

The answer would be 16

A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram.



What is the volume of the rectangular prism in cubic centimeters?

165 cm3

270 cm3

348 cm3

26 cm3

Answers

Answer:

270 cm3

Step-by-step explanation:

The volume of the given rectangular prism is 270 cm³.

What is Volume?

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have

Length = 9 cm

Width = 2 cm

Height = 15 cm

Using the formula for volume of the rectangular prism

= length x width x height

= 9 x 2 x 15

= 270 cm³

Thus, the volume of the given rectangular prism is 270 cm³.

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A woodworker wants to cut a board that is 10.016 feet long into 4 equal-length pieces. How long will each of the cut boards be?

Answers

Answer:

2.504 feet

Step-by-step explanation:

Find the length by dividing 10.016 by 4

10.016/4

= 2.504

So, each cut board will be 2.504 feet

Solution :-

We have

[tex] \begin{cases} \sf No. \: of \: pieces = \frak{4} \\ \sf Total \: Length = \frak{10.016 \: ft} \end{cases} [/tex]

So,

Length of 1 board = 10.016/4

Length of 1 board = 2.504 ft

So,

The length of 1 board is 2.504 ft.

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

0.005
0.015
0.245
0.735​

Answers

Answer:

0.245 because of him having the 75% chance of getting it and the test only being 98%

Step-by-step explanation:

its 0.245

Answer:

its 0.245

Step-by-step explanation:

I used the big fat mega thinking side of meh brain im smart

4x^2=20x
factor step by step please?

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Use the information from the graphs to write the equation in y=ab*^x

Answers

Answer:

1). y = 4(1.75)ˣ

2). y = (2)ˣ

Step-by-step explanation:

1). Let the equation of the given exponential graph is,

y = a(b)ˣ

Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)

For point (0, 4),

4 = a(b)⁰

a = 4

For point (1, 7),

7 = 4(b)¹

b = [tex]\frac{7}{4}[/tex]

b = 1.75

Therefore, equation of the function is,

y = 4(1.75)ˣ

2). Similarly, equation of the second graph will be same in the form of

y = a(b)ˣ

Second graph passes through the points (0, 1) and (2, 4)

For (0, 1),

1 = a(b)⁰

a = 1

For (2, 4),

4 = 1(b)²

b = 2

Therefore, exponential function representing the graph will be,

y = 1(2)ˣ

y = 2ˣ

Which are true about the area of a circle? Check all that apply. The diameter is used in the formula The units are always squared. The area can be found when given the diameter by first finding the radius O The area is the distance around the circle. O Circumference can be used to find area.​

Answers

Answer:

the second one and the first one

Step-by-step explanation:

Diameter is double radius so divide by two for radius then times by pi and you have area and when it comes to area is it always sqaured

Music
Read aloud
1) Sound effects

Answers

Answer:

Step-by-step explanation:

What am I supposed to do? If you don’t mind me asking. Like I’m not trying to waste your points at all just I’m confused I can def help tho if you tell me what I need to do

Answer:

Huh-?

Step-by-step explanation:

how do we find the angles for an irregular trapezoid?​

Answers

Answer:

all angles must add up to 180 to be a trapizoid so if they dont add up then its irregular

Step-by-step explanation:

b. 21.8°
5. Find the measure of the angle to the nearest tenth of a degree.
cos Y=0.5135
30.9
c.

Answers

Measure of angle is 59.1

This graph shows the relationship between the number of cubic yards and total cost of topsoil at a garden shop.

Mulch
The equation, y=25x, represents
the cost, y, in dollars, of x cubic
yards of mulch at the garden shop.

Type an equation to represent the cost of the topsoil. Show your work.
and
How does the cost of the topsoil compare to the cost of the mulch?

Answers

Answer: y=30x

top soil is 5 more dollars than mulch

Step-by-step explanation:

to find y=30x

see what y equals when x equals 1

The cost of the topsoil is $5 more than the cost of the mulch.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop.

From the, graph we have coordinates (1, 30) and (2, 60)

We know that, slope of points is (y2-y1)/(x2-x1)

Now, (60-30)/(2-1)

= 30

Substitute, m=30 and (x,y)=(1, 30) in y=mx+c, we get

30=30(1)+c

c=0

Substitute, m=30 and c=0 in y=mx+c, we get

y=30x

Per 1 cubic yard

Topsoil is y=30x=$30 and cost of the mulch is y=25x=$25

So, difference in cost is 30-25=5

Comparing cost in both the situation, the cost of the mulch is less than topsoil

Therefore, the cost of the topsoil is $5 more than the cost of the mulch.

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please help me please will give brainliest ​

Answers

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

whats the distributive property​

Answers

Answer:

5n + 5a

Step-by-step explanation:

This would be your simplified algebra expression.

Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

hello please help thanks

Answers

Answer:

Condensation.

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