Consider the probability density function of a random variable that is normally distributed. The center of this distribution is called the __________, and the measure of the dispersion of this random variable is called the __________.

Answers

Answer 1

Answer:

The center of this distribution is called the mean, and the measure of the dispersion of this random variable is called the standard deviation.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a normal distribution,

We have two measures, the mean(center), and standard deviation(dispersion). So

The center of this distribution is called the mean, and the measure of the dispersion of this random variable is called the standard deviation.


Related Questions

EM
0
What’s the domain and range?

Answers

Step-by-step explanation:

The set of input (argument) values for which a function is defined is domain.

The set of values (points) which a function can obtain is range.

Raven jogged 1/4 mile and walked 2/3 mile to cool down. How far did she travel

Answers

Answer:

I need Help on this one too.

Step-by-step explanation:

Answer:

8/12 or 3/4 of a mile

Step-by-step explanation:

I need help... on this question.

Answers

If I help can you help me with my question?

Answer:

Step-by-step explanation:

A+B= we will add both expressions

A+B=3x^4+2x^2-2x+1-2x^3+4x^2-3  we will add like terms

A+B= 3x^4-2x^3+6x^2-2x-2

A-B=3x^4+2x^2-2x+1-(-2x^3+4x^2-3)

A-B=3x^4+2x^2-2x+1+2x^3-4x^2+3

A-B=3x^4+2x^3-2x^2-2x+4

A company has increased its number of employees by the same rate each year. How many employees did the company have in 2001?

Answers

Answer:

B.429

Step-by-step explanation:

Answer: 429

Step-by-step explanation:

One spring, a group of students measured rainfall
totals at their school. This chart shows how many
inches of rain the students measured each month.
How many more inches did it rain in May than in
April?
MONTH RAINFALL
March 3.9
April 6.9
May 9.4

Answers

May have rained 2.5 more inches then in April. First you would need to subtract 9.4 because that’s how much it rained in May and then subtract it with 6.9 because that’s how much it rained in April. Then you get the answer of 2.5. You didn’t have to subtract the March  because they didn’t ask you for the inches for the March.

Issacs television is 25 inches wide and 18 inches high. What is the diagonal size of Issac’s television? Round to the nearest tenth if necessary.

Answers

Answer:

Diagonal = hypotenuse. Approximately 30.8 inches to the nearest tenth.

Step-by-step explanation:

helppppppppppppppppppppppp​

Answers

Step-by-step explanation:

area of trapezoid=(a+b)×h divided by 2

=(9+19)×4 divided by2

=28×4 divided by2

=112 divided by 2

=56m square

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=77°, and GE = 2.6 feet. Find the length of FG to the nearest tenth of a foot.​

Answers

Answer:

FG=11.6 feet

Step-by-step explanation:

cos 77 degrees=2.6/FG (because this is a right triangle)

.22495=2.6/FG

FG=11.558 feet

Answer:

11.3

Step-by-step explanation:

A car travels for 6 hours from Los Angeles to San Francisco at a constant speed (v), in miles per hour. Write an equation that can be used to find the speed of the car (v) if it travels for 380 miles.

Answers

Answer:

Speed = Distance / Time

Speed of the car = 63.33 miles/ hour (Approx)

Step-by-step explanation:

Given:

Number of hours = 6 hours

Total distance = 380 miles

Find:

Speed of the car

Computation:

Speed = Distance / Time

Speed of the car = 380 / 6

Speed of the car = 63.33 miles/ hour (Approx)

fr ee p oint the que stion just here so it doesnt get delet ed.Read the excerpt from "Br uh Lizard and Bru h Rabbit” from The P eople Co uld Fl y.if ka ren had 98 ki ds in her base ment and 78 ki ds dissaper ed how many are left.

Answers

Answer:

20 kids are left

Step-by-step explanation:

easy simple math

Answer:

The amount of kids that are left is simply 20.

Enter the correct answer in the box. What are the solutions of this quadratic equation?
ײ - 6x= -58
Substitute the values of a and b to complete the sonlutions

x= a+bi
x=a -bi​

Answers

Answer:

x = 3 + 7i   or   x = 3 - 7i; a = 3; b = 7

Step-by-step explanation:

x^2 - 6x = -58

We complete the square by adding the square of half of the coefficient of the x-term to both sides.

x^2 - 6x + 9 = -58 + 9

(x - 3)^2 = -49

[tex] x - 3 = \pm 7i [/tex]

x = 3 + 7i   or   x = 3 - 7i

a = 3; b = 7

The required value of a and b for the solution of the given equation is 3 and 7 respectively.

Given that,
To determine the solutions of this quadratic equation x² - 6x= -58 and Substitute the values of a and b to complete the solution.
x= a+bi
x=a -bi​

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given equation,
x² - 6x= -58

Completing the square of the above equation by adding and subtracting the square of the half of the coefficient of x.
x² - 6x + 9 - 9 = -58
(x - 3)² = -58 + 9
(x - 3)² = -49
x - 3 = √-49
x - 3 = ±7i
x = 3 ±7i
Now,
The required
a + bi = 3 + 7i
a - bi = 3 - 7i


Thus the required value of a and b for the solution of the given equation is 3 and 7 respectively.

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Solve the system by substitution.
y = 3x
y = -4x – 49

Answers

Answer:

Step-by-step explanation:

Substitute 3x into y=-4x-49

y=−4x−49

3x=−4x−49

3x+4x=−4x−49+4x(Add 4x to both sides)

7x/7=−49/7

(Divide both sides by 7)

x=−7

Step: Substitute−7forxiny=3x:

y=3x

y=(3)(−7)

y=−21(Simplify both sides of the equation)

Answer:

x=−7 and y=−21

The solution set to the given system of equation is (- 7, - 21).

Differentiate between a mathematical function, equation and expression?           Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionExpression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operatorsEquation : A mathematical equation is used to equate two expressions.

Given are the system of equations as follows -

y = 3x

y = - 4x - 49

We have the equations as -

y = 3x             .... Eq [1]

y = - 4x - 49     .... Eq [2]

Now, we can write the equation [2] as -

3x = - 4x - 49

7x = -49

x = - 7

So, we can find the value of [y] as -

y = 3x

y = 3 x - 7

y = - 21

Therefore, the solution set to the given system of equation is (- 7, - 21).

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By visual inspection, determine the best-fitting regression model for the data
plot below.


A. Linear
B. Quadratic
C. No pattern
D. Exponential

Answers

Answer:

The answer is quadratic

Step-by-step explanation:

It is quadratic because the correct answer is quadratic

The graph is showing the quadratic function.

What is Quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree. A quadratic function must have at least one second-degree term. It performs algebraic operations.

As, the linear function have graph consist of straight line.

Then, The quadratic function has the shape of a parabola and has the variable squared.  

and, exponential function have raising curve or falling curve.

As, per the given graph the curve shows parabola which is quadratic in nature.

Learn more about Quadratic function here:

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answer all 4 for braininess

Answers

Answer:Number 1 .is 33 because its the nearest number

number 2. is 3 dollars a pound s

number 3. she would take 22 minutes to walk 3.3 miles

number 4 he would drive 166 miles  plz brainliest plz

Step-by-step explanation:

1.

296÷8=37

2.

15.98÷2=7.99 per pound

7.99x3=23.97

3.

3.5÷0.5=7 times as many

11x7=77 minutes or 1 hour 17 minutes

4.

500÷8=62.5  per hour

62.5x3=187.5

Elyse's cell phone allows up to 8 GB of data each month. She received an alert that she used 95% of her data. How much data does she have left ​

Answers

She have 7.6 data left. 95/10 times x/8. 95x8 is 760. 760 divided by 100 is 7.6

Determine how (if possible) the triangles can be proven
similar. HELP ASAP!! have to show work as well

Answers

Answer:

c i think

Step-by-step explanation:

A stock valued at $100 decreases in value by 9.5% each year? What is the function?

Answers

Answer:

the function is y= 100-0.095x

Step-by-step explanation:

Step one:

given data

A stock valued at $100 decreases in value by 9.5%

let the number of years be x

Step two:

Hence, the rate of decrease is 0.095

therefore the function is

y= 100-0.095x

The function which represents the situation is

[tex]f(x) = 100 - {0.95}^{x} [/tex]

How to write exponential function

original value of stock = $100

Percentage decrease per year = 9.5%

= 9.5/100

= 0.095

Number of years = x

f(x) = 100 - 0.095^x

[tex]f(x) = 100 - {0.95}^{x} [/tex]

Therefore, the function which represents the situation is f(x) = 100 - 0.095^x

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Simplify the following expression.
11 to the 6th power
114 to the 4th power

Answers

Answer:

11^6 = 1,771,561

114^4 = 1.68 x 10^8 or 1.68896e8

Step-by-step explanation:

How much of the circle is shaded 1/9 and 1/2

Answers

Answer:

4.5 or 4 1/2 they are both the same

Step-by-step explanation:

simple math

What is the vertex of:
y=x^2+10x+26

Answers

Answer:

the vertex is (-5,1)

Step-by-step explanation:

hoped I helped:)

What is the prime factorization of 75?

Answers

Answer:

3 5^2

Step-by-step explanation:

it is 3 5^2 be cause if you do 3 x 25 or 5 x 15 or 1 x 75 that would =75

True False
18 is 3 more than 9.
18 is 3 times as much as 6.
19 is 3 times as much as 27.
9 is 3 more than 6.

Answers

Answer:

it goes in this order

false

true

false

true

The answers are as follow:

a) False

b) True

c) False

d) True

What is Number system?

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Given:

a) 18 is 3 more than 9.

But, 3 more than 9.= 12

So, it is false

b) 18 is 3 times as much as 6.

= 3 x 6

= 18

So, it is true

c) 19 is 3 times as much as 27.

= 3 x 27

= 81

So, it is false

d) 9 is 3 more than 6

= 3+6

= 9

So, it is true

Learn more about number system here:

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I need help on math.​

Answers

what the other person said is correct i checked it

r = 5.8 cm r = 7.1 cm

d = 11.6 cm d = 14.2 cm

C = 36.44 cm C = 44.611 cm

A = 105.68 cm2 A = 158.37 cm2

( I can't find where square is )

Find an equation of the line parallel to the graph of y = -3x – 11 that passes
through the point of (2, 4). Write your equation in slope-intercept form.

Answers

Answer:

m  =  − 3

Step-by-step explanation:

What kind of numbers are to the right of the zero

Answers

Answer:

Positive numbers

Step-by-step explanation:

For example:

-5,-4,-3,-2,-1,0,1,2,3,4,5

The underlined numbers are to the right of zero.(positive)

The bolded are to the left.(negative)

There are 25 rows of seats. There are 5 seats in each row. How many
seats are there in all?

Answers

Answer:

looks like 125 seats in total..good luck

Answer:

125 lovely

Hope that helps

what number is the opposite of 13/5?

Answers

Answer:

-13/-5 is the opposite of 13/5. Hope this helps :)

HELLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

8+x>=12
then you move 8 to the right side with different sign and will be:
x>=12-8
x>=4
>= shows you, that it should be full circle and line should go that way >>>>>>>

The data shows 68% percent of the area under the normal
distribution. This is equivalent to:

Answers

Answer: Plus or minus 1 standard deviation from the mean.

Step-by-step explanation:

According to the Empirical rule,

If the population is normally distributed then, about 68% of the population lies within 1 standard deviation from the mean value.

Here, the data shows 68% percent of the area under the normal  distribution.

This is equivalent to "plus or minus 1 standard deviation from the mean."

Hence, the correct option is : plus or minus 1 standard deviation from the mean.

Can somebody plz help me?
what is the probability of rolling a number greater than 3 on a standard dice
A) 1/2
B) 1/3
C) 1/6
D) 1/4

Answers

Answer:

1/2 is the answer

step-by-step explqnation:

Answer:

The answer is 1/2.

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