How do you compute the mean and standard deviation of the random variable with the given discrete probability distribution?

Answers

Answer 1

For a given discrete probability distribution, The random variable also contains discrete values, The mean and standard deviation are computed in terms of Expected values E(X).

What do you mean by random variable?

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a space of potential outcomes, commonly real numbers, to a space of measurement.

What is mean and standard deviation?

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

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.

For discrete probability distribution with P(x) as the probability of the event 'x'.

Mean = E(X) = x*P(x).

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

standard deviation = [tex]\sqrt {Variance}[/tex]

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Related Questions

Please please help I beg you

Answers

Answer and Step-by-step explanation:

Work is in the picture.

We get [tex]30\sqrt{2}[/tex] as the side length, and 180 as the area of the square.

#teamtrees #PAW (Plant And Water)

Ash began her hike at 1,986 feet above sea level. She then hiked down 2,510 feet decreased her altittude by
another 420 feet and then increased her altitidue by 712 feet. What is Addison's final altitude ?
Vocab: Altitude
means the height of an object or point in relation to sea level or ground level.

Answers

Answer:

1986-2510=-524

-524-420=-994

-994+712=-232

final altitude=-232

Step-by-step explanation:

f(x) = -2^2 + 6x + 1
f(5) =

Answers

613 Step-by-step explanation:

Name all the word(s) that can be used in place of classify
A.rank
B.all of the above
C.organize
D.sort
E.Group

Answers

the answer would be A rank

Answer:

B.) all of the above.

Step-by-step explanation:

Rank, organize, sort, and group are all good synonyms to use in place of the word classify.

Examples:

"Children need to know that we classify things every day in order to separate information."

And, you can also say:

"Children need to know that we sort things every day in order to separate information."

"Children need to know that we group things every day in order to separate information.

Alright, I think you get it now, right? Thanks for posting the question, fam. Have a nice day.

What is the surface area of a sphere with a radius of 10 feet? (Use 3.14 for π.)

703.36 ft 2
314 ft 2
1,256 ft 2
251.2 ft 2

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Answer:

hi

Step-by-step explanation:

Which statement about the data is true

Answers

Answer:

D. A value of 0.9 is more than 2 standard deviations from the mean.

Step-by-step explanation:

A is wrong, because the standard deviation is +/-0.15 (the measure up or down from the mean)

B is wrong, because the mean is exactly 0.5

C is wrong, because 1 standard deviation up from the mean is 0.65, and 0.7 is outside of that.

Heelp me, please.................

Answers

Answer:

B

Step-by-step explanation:

Each base in this oblique prism is a right triangle.
5 cm
12 cm
11cm
3 cm
4 cm
What is the volume of the figure?

Answers

35 should be right but I’m
Sorry if I’m wrong don’t hate me

Answer: 66

Step-by-step explanation:

I did it on khan

what is 2x-15+21= -18​

Answers

Hopes this helps:

Answer: x = -12

How I know I use this app called Cymath.

Answer:

2x - 15 +21 = -18

2x + 6 + 18 = 0

2x + 24 =0 ...it is a linear equation

if u want to solve for X then..

2x = -24

X = - 24

2

X = -12

Verify [cos(x)/1+sin(x)] - [cos(x)/1-sin(x)] = -2tan(x)

Answers

Answer:

L.H.S = R. H.S

Step-by-step explanation:

Hope, you see the image .

Note; Way to solve question may vary according to your grade

This process is for grade 9 and above

For lower level you can express all tri.. ratios in p , b & h and prove it

1/2 x (6 x 4) divided 3 + 2

Answers

Answer:

6

Step-by-step explanation:

6*4=24

1/2*24=12

3+2=5

12/5=6

Parenthises

Exponets

Multiplication

Divide

Add

Subtract

Hope this helps!!

Answer:

6

Step-by-step explanation:

1/2 x (6 x 4) ÷ 3 + 2  

(We do the equation in the parenthesis 1st)

1/2 x 24 ÷ 3 + 2    

(Since it's multiplication and division, we just go from left to right)

4 + 2

6

Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8

Answers

Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3

Step-by-step explanation:

V = πr^2h

V = π(2)^2(8)

V = π(4)(8)

V = 100.48

or

V = π (4)(8)

V = 32 π m^3

Write the expression representing the total number of miles run: Jazmin ran 3 miles on Monday. For the next 4 days, she ran x miles each day.

Answers

Answer:

4 + x

Step-by-step explanation:

how do you solve 10.50 X 8.5

Answers

Answer:

89.25

Step-by-step explanation:

because:

it just is

I need help fast no scammers

Answers

Question:

Find the area of the composite figure round to the nearest tenth

Answer:

360

Step-by-step explanation:

(25 x 12) + (10 x 6)

round it 360 >>>>> 360 it is the same

Answer:

360

Step-by-step explanation:

Split the given figure up into two different rectangles. One of these rectangles will have the dimensions (12 and 25), while the other will have the dimensions (6 and 10)  Find the area of each rectangle using the general formula                ([tex]length * width = area[/tex]), then add the two areas up to find the total area of the figure.

12 * 25

= 300

6 * 10

= 60

300 + 60

= 360

true of false if a shape has two pairs of parallel sides then it is a parallelogram

Answers

Answer:

false

Step-by-step explanation:

it could be a square/ rectangle/ other shapes as well

Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system y=x-1 2x+y=8

Answers

Answer:

Is that simultaneous equation

Answer:

Solve the system of equations using the substitution method.  Show your work and be sure to include the solution to the system.

Step-by-step explanation:

y=x-1

2x+y=8

if £1=$1.56, what is $1 worth

Answers

0.73

Hope that helps :)

7. A college professor asked her psychology students to complete a personality test. She paid special
attention to her students' greatest fears. The probability of a student being afraid of snakes is 1/3. The
probability of a student being afraid of heights and being afraid of snakes is 2/15. What is the probability
that a student is afraid of heights?
15
(1)
(3)
MIN
(2)
(4)

Answers

Answer:

2

Step-by-step explanation:

What are the length and width of the rectangle?
(picture included)

Answers

Answer:

a or c

Step-by-step explanation:

I don’t know ask for help sorry don’t blam this on me

Solve the equation.
pls help

Answers

Answer:

y=-3

Hope this helps!

can someone that is good at 7th grade math help me plzzzz

Answers

Answer:

-4 *-4 *-4

= 16*-4

= ANWSER

-9*-9

=81

Step-by-step explanation:

what is the volume..?

Answers

Answer:

225

Step-by-step explanation:

describe and correct the error in the factoring polynomial. x^2+4x-96=(x-12)(x+8)​

Answers

Answer:

100.03

Step-by-step explanation:

i think it is correct

If the temperature is -3 degrees F at 10:00 p.M., and the temperature falls four degrees overnight, what is the resulting temperature?

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Fre.e points i guess 2+2+2x5=

Answers

Answer:

14

Step-by-step explanation:

evaluate multiplication first

14

hope this helped :l

An airline uses many different types of airplanes. Information regarding some of the airplanes is given in the table below. A 5-column table with 5 rows. Column 1 is labeled Plane with entries SkyBus 280, SkyBus 580, Grigson A-2, Grigson A-5, SkyDancer. Column 2 is labeled Number of seats with entries 120, 225, 70, 130, 350. Column 3 is labeled Seat width (inches) with entries 20.3, 20.6, 19.9, 20.5, 20.2. Column 4 is labeled Wi-fi with entries no, yes, no, yes, yes. Column 5 is labeled first-class seats question mark with entries no, yes, no, no, yes. Which of the variables is a continuous variable? number of seats seat width Wi-Fi first-class

Answers

Answer:

b took the test right now

Step-by-step explanation:

The required, seat width is the continuous variable in the given table.

What is continuity?

Continuity is a mathematical concept that describes the smoothness of a function or a curve. A function is said to be continuous if there are no abrupt changes or breaks in the values it takes as the input varies. More formally, a function f(x) is continuous at a point x = a if the limit of f(x) as x approaches a from both sides exists and is equal to f(a).

For example, a function that describes the temperature in a room as a function of time is continuous if there are no sudden changes or jumps in the temperature.

Here,
The number of seats is not a continuous variable because it can only take discrete values (such as 120, 225, etc.).

The Wi-Fi and first-class variables are not continuous either because they are categorical variables that can only take a limited number of values (yes or no).

The seat width variable, however, is a continuous variable because it can take on any value within a range of values (such as between 19.9 inches and 20.6 inches). Therefore, seat width is the continuous variable in the given table.

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What is the value of x in this diagram?

Answers

If it isn’t 80 then it will be 40

Find the value of b. Round your answer to the nearest tenth.

Answers

Answer:

[tex]x = 29.65 \\ = > x = 30[/tex]

Solve the following system of equations by substation.
5y = 7x + 22
x = -6y + 17

A. (2,-1)
B. (5,3)
C. (-1,3)
D. (-1,4)

Answers

Answer:

C. (-1, 3)

Step-by-step explanation:

Label the 2 equations:

5y= 7x +22 -----(1)

x= -6y +17 -----(2)

Substitute (2) into (1):

5y= 7(-6y +17) +22

5y= -42y +119 +22 (Expand bracket)

5y= -42y +141 (Simplify)

42y +5y= 141 (+42y on both sides)

47y= 141

y= 141 ÷47 (÷47 on both sides)

y= 3

Substitute y= 3 into (2):

x= -6(3) +17

x= -18 +17

x= -1

Thus, the solution is (-1, 3).

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