Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3

Answers

Answer 1

Answer:

The standard deviation of the probability distribution is 1.02.

Step-by-step explanation:

Standard deviation of the distribution:

Square root of the sum of the difference squared between each value and the mean multiplied by its probability.

Mean:

Each value multiplied by its probability. So

[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]

The standard deviation of the probability distribution is 1.02.


Related Questions

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Believe it’s 150/15 or 50/1 :>

A store sells shirts.
• The store has 72 shirts.
• 25% of the shirts are green.
of the green shirts have stripes.
How many shirts are green and have stripes?

Answers

Answer:

54are green and have strips

Step-by-step explanation:

72=100% of the total number of shirts

25%=18 shirts

so that means 18 shirts are green

72-18=54

so 54 striped green shirts.

Can someone help me plsssss I’ve been struggling

Answers

I can’t see it








.........

Answer: YES

REASON: Since a rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle.

find the total surface area of the following cone. leave your answer in terms of pi.

Answers

Answer:

90pi

Step-by-step explanation:

SA = pi r l +B

we know the radius is 5

We need to find the slant height using the Pythagorean theorem

a^2+b^2 = c^2

5^2+12^2 = l^2

25+144= l^2

169 = l^2

Taking the square root of each side

sqrt(169) = sqrt(l^2)

13 = l

B is the area of the base

B = pi r^2 = pi (5)^2 = 25 pi

SA = pi r l +B  = pi (5)*13 + 25pi

                       =65pi +25pi = 90pi

Answer:

90 pi

Step-by-step explanation:

Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer

SA= 90

200 cm = m 4pijwedougfehdgijhskjghskdghksdjgh

Answers

Answer:

b

Step-by-step explanation:

E-24sbsnsnsebebehdttt

Can someone help me find the area?

Answers

Answer:

56

Step-by-step explanation:

4 x 5 = 20

20/2 = 10

4 x 5 = 20

20/2 = 10

6 x 6 = 36

20 + 36 = 56

______________________

Give Me Brainllest

Answer:

56

Step-by-step explanation:

please answer and explain #17 :)

Answers

Answer:

Solution given:

we have

m<PTQ=m<RTS

x+20=3x+12.

20-12=3x-x

x=

[tex] \frac{8}{2} [/tex]

now

16.m<PTQ=x+20=4+20=24°

17.

again

m<PTR+m<PTQ=180°[supplementary]

so

m<PTR=180°-24°=156° is your answer

Answer:

156°

Step-by-step explanation:

I see you have already found the x so now plug it in.

(4)+20=24

(4)(3)+12= 24

Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.

We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156

the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.

Does that make sense?

WILL GIVE BRAINLIEST!!!
In a test of hypothesis for a mean, which statement is CORRECT?

The population must be normal because that is the only case when the sample mean is Normally distributed.
As long as the population distribution consists only of positive values, sample size does not matter.
The population distribution can be any distribution because the sample mean is always Normally distributed.
The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.

Answers

Answer:

As long as the population distribution consists only of positive values, sample size does not matter.

Step-by-step explanation:

As long as the population distribution consists only of positive values, sample size does not matter.

This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

--------------------------------------------------------------

Length Width Height

5 in. 214 in.

--------------------------------------------------------------

A) 79in.

B) 412in.

C) 134in.

D) 1018in.

Answers

mcyt mcyt mcyt mcyt mcyt

what is x equal to? please help

Answers

Answer:

147°

Step-by-step explanation:

x+33=180

x=180-33=147°

Factor the expression (x+4)^2-4y^5(x+4)+4y^10

Answers

if you factor this,
it is (x+4-2y^5)^2

A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?​

Answers

Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft

PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)

-36x-8

-36x + 8

-36x-9

-36x +9

Answers

Answer:

Last one, -36x+9.

Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.

I just need help with this is anyone can help I would be happy Thx

Answers

Answer:

24 sq cm

Step-by-step explanation:

the big square is 20 and the small one is 4

The answer is 24
5•4=20
2•2=4
20+4=24.
I hope that’s help





For the equation, complete the given ordered pairs.

3x-y=4

{0,_} [1,_} {_,4}


Can someone help me

Answers

Answer:

{0,-4} [1,-1} {8/3,4}

Step-by-step explanation:

3x - y = 4

{0,_} [1,_} {_,4}

For x = 0:

3x - y = 4

0 - y = 4

y = -4

For x = 1

3x - y = 4

3 - 3 - y = 4 - 3

-y = 1

y = -1

For y=4

3x - y = 4

3x -4 = 4

3x = 8

x = 8/3

Solution:

{0,-4} [1,-1} {8/3,4}

Please mark brainliest if this helped!

Please mark brainliest if this helped!

a/5=b/7 if b#0 what is the value of a/b​

Answers

Answer:

A = 20

b = 28

Step-by-step explanation:

a = 20/5 = 4

b = 28/7 = 4

find the value of x

please

Answers

Answer:

x = 51

Step-by-step explanation:

These angles equal each other because they're vertical angles so:

2x + 8 = 110

2x = 110 - 8

2x = 102

x = 51

use an inequality symbol to compare -3 + 7 ____-10 -2​

Answers

Answer:

>

Step-by-step explanation:

-3 + 7 = 4

-10 - 2 = -12

4 > -12

The function f(x) = 600(0.981)x, where x is the time in years, models a declining lemming population How many
lemmings will there be in 3 years?

A.about 566
B.about 1,803
C.about 1,766
D.about 601

Answers

Answer:

The answer for this question is:

About 566 lemings

Step-by-step explanation:

Answer:

A.about 566

Step-by-step explanation:

Find the product for the following expressions:
(8c + 2)(5c-7)

Answers

Answer:40c^2-46c -14

Step-by-step explanation:

(8c+2)*(5c-7)

8c*(5c-7)+2(5c-7)

40c^2-56c+10c-14

40c^2-46c-14

Answer:

(8c + 2)(5c-7) = 40c²-46c-14

Explanation:

(8c + 2)(5c-7) = 40c²-56c+10c-14

(8c + 2)(5c-7) = 40c²-46c-14

a landscape architect is designing a pool that has this top view

Answers

Answer:

what view?

and whats the question?

Step-by-step explanation:

Help pls! I need help to finish :(
No Links!

Answers

the answer is 7.5.
7 4/8 is also 7.5

thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)​

Answers

Answer:

A.

x + 2 + 12

Step-by-step explanation:

Thomas (t) = Andrew (x) * 2 + 12

What’s the area of the figure?

Answers

The area should be 36.

The formula for area is base times height [A=b(h)]

Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?

Answers

His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25

Answer:

75% correct and 25%error

Step-by-step explanation:

As 12÷16×100=75%

The error =100-75=25%

im a breadstick grrrr

Answers

Answer:

ok if u say so

Step-by-step explanation:

On a coordinate plane, line A is the y-axis, line d is the x-axis, point C is at (0, 0), and point B is a quadrant.
Use the drop-down menus to identify the parts of the coordinate plane.


Line A is the .
Region B is .
Point C is the .
Line D is the .

Answers

Answer:

Line A is the  

✔ y-axis

Region B is  

✔ a quadrant

Point C is the  

✔ origin

Line D is the  

✔ x-axis

Step-by-step explanation: Did it on Edgen

Answer:

its line d

Step-by-step explanation:

I did the test

Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed? If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle. If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle. If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Answers

Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Step-by-step explanation: i hope this helps! :)

The correct statement is (C)

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

So, Using the definition of Pythagoras theorem

the statement would be

If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Learn more about pythagoras theorem here:

brainly.com/question/343682

#SPJ2

find the surface area of the cube with 7 inches sides

Answers

Answer:

294

Step-by-step explanation:

surface area of a cube = 6* a^2

6 * 7^2

= 6* 49

= 294

The volume of a sphere depends on its radius, so the volume is a function of the radius. If this function is called V(r), use the formula below to compute V(4), the volume of a sphere with a radius of 4 units.

Answers

Answer:

the volume of a sphere with a radius of 4 units.

=4/3πr³=4/3×π×64 is your answer

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