Why should the sum of the probabilities in a probability distribution always equal to 1?

Answers

Answer 1

Answer:

If u add probabilities of all possible outcomes that should be one, because classical definition of probability is number of possible out comes divided by total number of outcomes. When you add all probabilities numerator and denominator are equal so answer is one.

Answer 2

Answer:

The total probability of a set of related events sums up to 1 because the probability of each individual event in the set is a fraction of the whole. For example, suppose you flip a fair coin a large number of times.


Related Questions

awser the circled question ​

Answers

Answer:

7.5

Step-by-step explanation:

if one square is unit then use area formula for a right triangle which is 1/2bh

since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5

hope this helps

A number went into this machine and 36 came out.

Answers

Answer:

75

Step-by-step explanation:

Michael used a ruler to measure the length of a rope and he found that it was 7 ½ feet long. What is the length of that rope in yards?

Answers

Answer:

hi mai Ankit Kumar and smart ways of learning and smart ways of learning and smart and the other day

Standard form of 0=2-y

Answers

Answer:

y = 2

Step-by-step explanation:

0 = 2 - y

-2 = -y

y = 2

Answer:

it'll always be the number it is if it's going by 0

What are the domain and range of the function f(x)= x4 - 2x2-4?
O domain: all real numbers
range: all real numbers greater than or equal to -5
O domain: all real numbers
range: all real numbers greater than or equal to -4
domain: all real numbers between -2.5 and 2.5
range: all real numbers
O domain: all real numbers between -2.5 and 2.5
range: all real numbers greater than or equal to -5

Answers

Answer: A. domain: all real numbers

range: all real numbers greater than or equal to -5

The domain and range of the function f(x)= x4 - 2x2-4 is all real numbers, and all real numbers greater than or equal to -5.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

f(x)= x4 - 2x2-4

Now,

To find the range, we can consider the behavior of the function as x approaches positive or negative infinity. As x gets very large or very small, the x^4 term will dominate, and the function will become very large (positive for large positive x, negative for large negative x). So, we know that the range is not all real numbers.

We can also complete the square to rewrite the function in vertex form:

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

From this form, we can see that the minimum value of f(x) is -5, which occurs when x = 0. Therefore, the range of the function is:

Range: all real numbers greater than or equal to -5

So, the answer will be Domain: all real numbers, Range: all real numbers greater than or equal to -5

Learn more about the domain and range of the function:

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A hat costs x dollars and you can use the expression x -0.20x to find the cost of the hat
with a 20% discount. What is another expression that would represent the cost of the
hat after the discount?

Answers

You can think of a 20% discount as only 80% of the original cost or:
Cost = 0.80x

50 POINTS! SHOW WORK OR ILL REPORT

Answers

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

You are going to Wal-Mart to buy DVD's. The DVD'sare packaged in a box. There are thirty five DVDs in the box. You only want five. The box cost forty-five dollars. How much did you pay? How much change do you get back if you pay with fifty dollars? Explain the order of operations that was used.​

Answers

Answer:

574.94

Step-by-step explanation:

walmart

the value of y please

Answers

The correct answer is

y= 85

Resolution

y= (-9)^2 +4

y= 81 + 4 = 85

A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?

Answers

Answer:

y = 9x + 10

Step-by-step explanation:

y = mx + b

Here, m is slope and b is y-intercept

y = 9x + 10

James purchased a home in Reed County for $249,000.00 in 2010. In 2017, the house was
worth $345, 000.00. If the house continues to appreciate at a steady rate, how much is the
house currently worth. Show all work to receive full credit.
PLEASE HELP ME

Answers

Answer:

386,143

Step-by-step explanation:

What does it mean when a problem asks for an expression

Answers

Answer:

when it asks for an expression it means an equation

ex.) 2x+3 =5

Step-by-step explanation:

True or false:
There is some translation
(x, y) + (x + h, y + k) that maps a square
to a circle.
Select one:
O True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Which two expressions are equivalent to 5^2/5^8
A 1/5^6
B 1^-6
C (5^2)^-3
D (5^2)^-8

Answers

Answer:

Carbon (C), nonmetallic chemical element in Group 14 (IVa) of the periodic table. Although widely distributed in nature, carbon is not particularly plentiful—it makes up only about 0.025 percent of Earth's crust—yet it forms more compounds than all the other elements combined.

Answer:

a and c

Step-by-step explanation:

!!(Help me please)!!

The median test score in your friends class is

A)80
B)70
C)90
D) none of the above​

Answers

Answer:

80 is the answer

Step-by-step explanation:

An aquarium tank is 3 feet long 1 foot wide and 2 feet high how many gallons of water would it take to fill the tank two thirds full a cubic foot is about 7.5 gallons

Answers

Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?​

Answers

Answer:

I hope I can help

Step-by-step explanation:

welcome po

Question:

A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?

Answer:

1 minute = 60 seconds

60 seconds/3 seconds = 20

480 feet x 20 = 9,600 feet

The elevetor travels 9,600 feet per minute.

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#CarryOnLearning

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Christiane runs for 2.5 kilometers every day. After 7 days, how many meters has Christiane

Answers

Answer:

NEYO

Step-by-step explanation:

Answer:

17500 meters

Step-by-step explanation:

2.5 x 7

(Kilometers x 7 days)

17.5 x 1000

((2.5 x 7) x converting kilometers into meters)

17500

5. The daily temperature recorded (in degree F) at a place during a week was as under:
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
35.5
30.8
27.3
32.1
23.8
29.9
Find the mean temperature.​

Answers

Answer:

29.9 °F

Step-by-step explanation:

The formular for mean is given as;

Mean = Sum of Terms / Number of terms

Number of terms = 6

Sum of terms = 35.5  + 30.8  + 27.3  + 32.1  + 23.8  + 29.9 = 179.4

Mean = 179.4 / 6 = 29.9

What are the coordinates of the image if this pre-image is dilated by 2?

Answers

Answer:

Step-by-step explanation:

hopes this helps :p

Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I​

Answers

Answer:

(1, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Coordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 3

y = -3x + 6

Step 2: Solve for x

Substitute in y:                                                                                                 3 = -3x + 6[Subtraction Property of Equality] Subtract 6 on both sides:                      -3 = -3x[Division Property of Equality] Divide -3 on both sides:                                1 = xRewrite/Rearrange:                                                                                        x = 1

Step 3: Solve for y

Define original equation:                                                                               y = -3(1) + 6Multiply:                                                                                                           y = -3 + 6Add:                                                                                                                 y = 3

WILL GIVE BRAINLIEST
In which set do all of the values make the inequality 2x -1 < 10 true?
A. (10,15,20)
B. (5,7,9)
C. (4,6,8)
D. (2,3,4)

Answers

Answer:

D

Step-by-step explanation:

i just know

David rents DVDs from a company that charges a $7.00 monthly fee and $1.50 for each DVD rental. He ends up paying $20.50 for the month of June. The equation 1.5 x + 7 =
20.5 represents this situation. Solve this equation for x. Type in the NUMBER answer in the text box.

Answers

Do u have a screenshot

Step-by-step explanation:

Derrick brought 24 cupcakes to a birthday party. The guests at the party ate 2/3 of the cupcakes. How many cupcakes did the guests eat?

Answers

They ate 16 cupcakes 2/3 of 24 is 16

what is the answer for this problem ? 3x + 2y = 29​

Answers

3x+2y-29=29-29 answer is 0

Find the unit rate. 84 miles in 12 days
(Ratio)

Answers

Answer:

84:12

7:1

hope this helps, good luck :)

Answer:

84:12

7:1

divide each by 12

9. Rob usa el cálculo mental para resolver 90 – 30.
Dice que 9 decenas menos 3 decenas son
6 decenas, o 60. ¿Esto es verdadero o falso?
Encierra tu respuesta en un círculo.

Verdadero

o

Falso

Answers

Versadero. Espanōl eeee

what is the approximate square root to 115​

Answers

what is the approximate square root to 115

10.7

Step-by-step explanation:

this is the ans

6y>8 answer in a fraction

I need help with finding the answer I do not understand what to do and the answer has to be in fraction form and I just really need help

Answers

Answer:

Y= 3 over 4

Step-by-step explanation:

In typinging case we don't tell by real answer but may be u know what. I want to say

what is the monthly interest payment for an account with a balance of $200.00 and an A.P.R of 18%

Answers

Answer:

Find the monthly rate: Divide the APR by 12. : 18/12= 1.5

Multiply that the monthly rate by the amount of the loan: $200X1.5% = 3.-

$3.- is the monthly interest payment

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