What is the area under f(x) if the function is a continuous probability density function?

Answers

Answer 1

Answer:

If X is a continuous random variable, the probability density function f(x), is used to draw the graph of the probability distribution. The total area under the graph of f(x) is one.


Related Questions

I got stumped on another one!

Answers

The answe is the first one

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

What is the mean for the data shown in the dot plot? 4 5 6 10

Answers

Answer:

Mean = 6.25

Step-by-step explanation:

Data values: 4, 5, 6, 10

Mean = (Sum of all values)/(Number of values)

Mean = (4 + 5 + 6 + 10)/4

Mean = 25/4

Mean = 6.25

The mean for the data shown in the dot plot is 6.25.

The given data is 4, 5, 6 and 10.

We need to find the mean for the data shown in the dot plot.

What is the dot plot?

A dot plot is used to encode data in a dot or small circle. The dot plot is shown on a number line that displays the distribution of numerical variables where a value is defined by each dot.

Now, mean = Sum of all the observations / Total number of observations

=(4+5+6+10)/4

=25/4

=6.25

Therefore, the mean for the data shown in the dot plot is 6.25.

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How is the graph of the parent function y= hurrrr!!!x2 transformed to produce the graph of y= 3(x+1)2? It is translated 1 unit right and compressed vertically by a factor of 3. © It is translated 1 unit left and compressed vertically by a factor of 3. Olt is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.​

Answers

Answer:

3.

Step-by-step explanation:

The graph is being moved to the left and then stretched by a factor of three. If it were to be compressed than the 3 would be 1/3.

The graph of the parent function is translated to 1 unit left and compressed vertically by a factor of 3.

Option B is the correct answer.

What is translation?

It is the movement of the shape in left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The graph of the parent function y = x² can be transformed to produce the graph of y = 3(x + 1)² by translating it 1 unit to the left and stretching it vertically by a factor of 3.

Here's why:

The (x + 1) part inside the square means that the graph is shifted 1 unit to the left.

The exponent of 2 means that the graph is squared, just like the parent function.

The coefficient of 3 in front of the square means that the graph is stretched vertically by a factor of 3.

Therefore,

It is translated 1 unit left and compressed vertically by a factor of 3.

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PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

12.5%

Step-by-step explanation:

r = (1/4)((1500/1000) - 1) = 0.125

r = 0.125 = 12.5%

D or 12.5%
Explanation: r= (1/4) ((1500/1000)-1) =0.125
r= 0.125 = 12.5%

I need this equation in standard form

Answers

Answer:

-2x + y - 1 = 0

Step-by-step explanation:

Standard form is Ax + By + C = 0

2x + y = -19 indeedddddddddddddddddddddddddddddd

Paying my bills late will most likely cause my credit score to go down.

True or False

(GIVING BRAINLIEST)

Answers

Answer:

True

Step-by-step explanation:

A man purchased a used car for $5000 He decided to sell the car for 20% above his purchase price. He could not sell the car so he reduced his asking price by 20% of
he sells the car at the reduced price will he have a profit or a loss or will he break even?
Select the correct choice below and fill in any answer box to complete your answer
A. The man will have a profit of __
B. The man will break even
C. The man will have a loss of 5__

Answers

C po
#CarryOnLearning

Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).

© 2020 StrongMind. Created using GeoGebra.

Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units

Answers

C -  When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative

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Enjoy!

The dot plots show 20 scores on two different tests.
What is the difference of the ranges?

A) 20
B) 35
C) 5
D) 10

Answers

Answer:

A) 20

Step-by-step explanation:

Test 1:

90-50 = 40

Test 2:

100-40 = 60

Difference:

60-40 = 20

what is the mode for the following numbers 67 76 67 76 67 23 32 23 32​

Answers

67 is the mode because it appears the most.

Answer:

67.

Step-by-step explanation:

67 appeared three times while everything else appeared only twice.

What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = StartFraction 16 Over h squared minus 25 EndFraction?

Answers

Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D

Step-by-step explanation:

Answer:

the answer is h=7

Step-by-step explanation:

The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?

A 18a^6b^2 units

B 136a^6b^2 units

C 152a^10b^6 units

D 1152a^10b^6 units​

Answers

Answer:

A) 18a^6b^2

Step-by-step explanation:

area = width x length

length = area/width

144a^8b^4/8a²b^2 = 18a^6b^2

PLEASE HELP ME THANKS!

Answers

Answer:

i think it is B. x^ab, but i could be wrong

Step-by-step explanation:

pemdas so take

x^(a+b)

x^(ab)

x^ab

probably wrong

Help me on this question please!

Answers

31.2 or G

Step By Step Explanation:

Which rectangle will have the largest area?

l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!

Answers

Answer:

l = 6 cm, w = 7 cm

Step-by-step explanation:

I need help with this

Answers

Answer:

sience -2 is to the left of 2

_

. 3

PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE

Answers

Answer:

C

Step-by-step explanation:

The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.

The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.

The section that is both under the dotted line and above the solid line is C.

what is the diameter of a circle with a circumference of 27 centimeters?

Answers

Answer:

diameter = 8.6 cm

Step-by-step explanation:

diameter = 27/π = 8.6 cm

You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below shows the bedroom (left) and completed office (right). Use this diagram for Questions 3-6.

It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.

Answers

Answer:

D. 75

Step-by-step explanation:

The cost to buy all of the crown molding for the bedroom would be $75.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.

Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.

Hence, cost to buy all of the crown molding for the bedroom = $75.

More can be learned about proportions at;

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Write an equivalent expression for 6( 4 + 2m) ?

Answers

Answer:

QUESTION:

Write an equivalent expression for 6( 4 + 2m) ?

ANSWER:

6(4+2m) = ?

6 X 4 = 24

6 X 2m = 12m

Final answer:

12m + 24

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

I need this please help me

Answers

i believe it's c. it's the only reasonable answer.
I think it’s option C I’m not 100% sure sry if I’m wrong

Consider a population of people who suffer occasionally from migraine headache. Suppose 62% of those people get some relief from taking ibuprofen (true proportion). To investigate the effectiveness of ibuprofen, a random sample of 100 people is obtained at random from this population. A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

Answers

Answer:

The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

62% of those people get some relief from taking ibuprofen (true proportion).

This means that [tex]p = 0.62[/tex]

Sample of 100

This means that [tex]n = 100[/tex]

A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.

By the Central Limit Theorem, it is approximately normal with

Mean [tex]\mu = p = 0.62[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]

How do you write 20% as a decimal?

Answers

Answer:

the answer is 0.20 for 20%

Answer:

[tex] \bf \huge0.2[/tex]

Step-by-step explanation:

Given that :

How do you write 20% as a decimal?

to find :

write in decimal form

explanation :

finding the decimal form of 20%

⟼ decimal form = 20%

⟼ decimal form = 20/100

⟼ decimal form = 2/10

⟼ decimal form = 0•2

the decimal form of 20% is 0•2 .

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Each one is 6.5 in total 5,000999999

I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?

Answers

Answer:

 7.5 min for each assignment

Step-by-step explanation:

1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:

15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60

Or we could multiply one hour, or 60 minutes, by  3 /4 .

    60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45

Three fourths of an hour is 45 minutes.

to find  time for each assignment =45/6

          7.5 min

What is the least common denominator of 1/6 and 5/12

Answers

Answer:

The least common denominator is 12.

Step-by-step explanation:

1/6 and 5/12.

Skip count by 6and 12.

6: 6,12,18,24,30.....

12: 12,24, 36,48...

12, appeared first, so 12 is the least common denominator.

hope it helps.

help! the measure of XY = 140 find the measure of angle 0

Answers

Answer:

it's 140 ÷ 2 = 70

bcz the XY is a Inscribed angle

Which situation results in a final value of zero

Answers

Answer:

                       

Step-by-step explanation:

In a sequence of numbers, a4=3, a5=5, a6=7, a7=9, and a8=11.

Which recursive rule can be used to find the nth term of the sequence, an?

a1=3; an=an−1+2
a1=−3; an=2an−1
a1=3; an=2an−1
a1=−3; an=an−1+2

Answers

Answer:

a1=−3; an=an−1+2

Step-by-step explanation:

I just took the quiz and this was what was correct

Which equation matches the table?

Answers

Answer:

Wait that makes no since but i would say 4 input and 28 input

Step-by-step explanation:

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