The marginal PMFs Px(x) and Py(y) are:
Px(0) = 0.4, Px(1) = 0.4, Px(2) = 0.2
Py(0) = 0.25, Py(1) = 0.45, Py(2) = 0.3
The marginal PMFs Px(x) and Py(y) can be obtained by summing up the joint PMF over the respective variable.
Let X and Y be two discrete random variables with joint PMF P(x,y). Then, the marginal PMF of X, denoted as Px(x), is given by:
Px(x) = ∑y P(x,y) for all possible values of y.
Similarly, the marginal PMF of Y, denoted as Py(y), is given by:
Py(y) = ∑x P(x,y) for all possible values of x.
Using the joint PMF given in Problem 5.2.2, we can calculate the marginal PMFs as follows:
Px(0) = P(0,0) + P(0,1) + P(0,2) = 0.1 + 0.2 + 0.1 = 0.4
Px(1) = P(1,0) + P(1,1) + P(1,2) = 0.1 + 0.2 + 0.1 = 0.4
Px(2) = P(2,0) + P(2,1) + P(2,2) = 0.05 + 0.05 + 0.1 = 0.2
Py(0) = P(0,0) + P(1,0) + P(2,0) = 0.1 + 0.1 + 0.05 = 0.25
Py(1) = P(0,1) + P(1,1) + P(2,1) = 0.2 + 0.2 + 0.05 = 0.45
Py(2) = P(0,2) + P(1,2) + P(2,2) = 0.1 + 0.1 + 0.1 = 0.3
Therefore, the marginal PMFs Px(x) and Py(y) are:
Px(0) = 0.4, Px(1) = 0.4, Px(2) = 0.2
Py(0) = 0.25, Py(1) = 0.45, Py(2) = 0.3
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1/6(x + 6) = 11 What is x
Answer:
x = 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
[tex]\frac{1}{6}[/tex](x+6)=11
[tex]\frac{1}{6}[/tex]x + 1 = 11
[tex]\frac{1}{6}[/tex]x +1 -1 = 11 -1
[tex]\frac{1}{6}[/tex]x * 6 = 10 *6
x = 60
To double check
[tex]\frac{1}{6}[/tex](60+6)=11
10+1 = 11
11 = 11
Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.
Answer:
y = 3x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)
m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 14 ) , then
14 = 24 + c ⇒ c = 14 - 24 = - 10
y = 3x - 10 ← equation of line
The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets in the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?
Answer:
a) How many of the pets were birds and how many were fish?
Number of birds = x = 28
Number of fish = y = 202
b) Equation for pets?
x + y = 230....... Equation 1
c) Equations for cost?
9x + 4y = 1060...... Equation 2
Step-by-step explanation:
The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060 how many of the pets were birds and how many were fish? Equation for pets? Equations for cost?
Let us represent:
Number of birds = x
Number of fish = y
The pet store has an abundance of birds and fish and is selling them at a great price there are 230 of these pets
x + y = 230....... Equation 1
x = 230 - y
In the store the cost for a bird is $9 and the cost per fish is $4 the store sold all the pets in a weekend blow out sale and made $1060
$9 × x + $4 × y = $1060
9x + 4y = 1060...... Equation 2
We substitute 230 - y for x
9(230 - y) + 4y = 1060
2070 - 9y + 4y = 1060
Collect like terms
- 9y + 4y = 1060 -2070
-5y = -1010
y = -1010/-5
y = 202
Solving for x
x = 230 - y
x = 230 - 202
x = 28
Therefore,
Number of birds = x = 28
Number of fish = y = 202
Your parents are building a pool that is 7 ft wide and 12 ft long. They want to put a walkway around the pool that is x ft wide on all sides. Write a polynomial that represents the combined area of the pool and walkway. Answer needs to be in standard form and use x as your variable.
Answer:
Combined area = 4[tex]x^{2}[/tex] + 38x + 84
Step-by-step explanation:
The rectangle formed by the pool and walkway is 12 + 2x long and 7 + 2x wide.
Area of the rectangle = lw = (2x + 12)(2x + 7) = 4[tex]x^{2}[/tex] + 38x + 84
Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.
Answer:
198
Step-by-step explanation:I
Answer: w= 150m
Step-by-step explanation:
MARK BRAINLIEST
Please put all these in order. Will give brainleast if answered correctly.
Answer: I can’t see the pic it’s blank
Step-by-step explanation:
Step-by-step explanation:
The answer is two because when you have one pen and buy another one it becomes two pens
Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probability that Helen makes the second free throw given that she made the first is 0.85. What is the probability that she makes both free throws?
Answer: 0.6375
Step-by-step explanation:
Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85
Therefore, the probability that she makes both free throws will be denoted as:
= 0.75 × 0.85
= 0.6375
Complete the following proofs.
Given: Points R, S, T, Q on circle O
Prove: m Arc RS + m Arc ST + m Arc TQ = m Arc RQ
Answer:
Points R, S, T, Q on circle O is given
and points are central arc
Step-by-step explanation:
suppose the company's cost per 1 gallon is $2.70 what is the markup if they sell each gallon at $3.20 then what is the markup if they sell each gallon at $3.50
Answer:
A= 50cents markup B=80 cents markup
Step-by-step explanation:
U just subtract the markup by 270 then bam
Given the point (3, 4) and the slope of 6, find y when x = 27. (1 point)
Step-by-step explanation:
use the slope and coordinates to find the equation of line then substitute the value of X in the equation to find Y.
if it helps pls mark me brainliest
anyone think they could help me with this question???
Answer:
61
Step-by-step explanation:
As we can see the triangles are congruent so
< F = < C ( being corresponding angles of congruent triangle)
< C = 29
Now
<A +<B + <C = 180° { being sum of angles of triangle }
5x + 1 + 90 + 29 = 180°
5x = 180° - 120°
5x = 60°
x = 12°
<A = 5 * 12° + 1 = 61°
Hope it will help :)
Carlos tiene un terreno cuadrado que mide 8 m por lado. ¿Cuál es el área del terreno?¿Qué operación permite obtenerla?
Answer:
32 ,multiplica 8 por 2 en cuanto lo vi lo resolví
Condense to a single logarithm : log 12 18+3 log 12 2
Answer:
2 or [tex] \log_{12} 144 [/tex]
Step-by-step explanation:
I assume 12 is the base.
[tex] \log_{12} 18 + 3 \log_{12} 2 = [/tex]
[tex] = \log_{12} 18 + \log_{12} 2^3 [/tex]
[tex] = \log_{12} (18 \times 8) [/tex]
[tex] = \log_{12} 144 [/tex]
[tex] = \log_{12} 12^2 [/tex]
[tex] = 2\log_{12} 12 [/tex]
[tex] = 2 [/tex]
The entire expression simplifies to 2, but if you need the simplest log expression, then you can use
[tex] \log_{12} 144 [/tex]
What is the area of cross-section ADGF of this right rectangular prism?
A.
20 square units
B.
48 square units
C.
52 square units
D.
65 square units
Answer:
C.52 square units
Step-by-step explanation:
We are given that
Length of cross-section ADGF,l=13units
Length of cross-section ADGF, b=4 units
We have to find the area of cross-section ADGF of this right rectangular prism.
We know that
Area of rectangle=[tex]l\times b[/tex]
Using the formula
Area of cross-section ADGF of this right rectangular prism
=[tex]13\times 4[/tex]
Area of cross-section ADGF of this right rectangular prism=52square units
Option C is correct.
C.52 square units
Answer:
i hope this helps
Step-by-step explanation:
Hello please help me answer :)
( WILL GIVE BRAINLST)
Answer:
Answer is given
:) mark me brainliest
17 >n +4
I rlly need help now
Answer:
n=13
Step-by-step explanation:
Step 1: Flip the equation.
Step 2: Subtract 4 from both sides.
which of the follow expressions are equivalent to (3^4)^-2 • (3^5)^3
Answer:
3^7
Step-by-step explanation:
Answer:
3^7
Step-by-step explanation:
(3^4)^-2 • (3^5)^3 = 2187
3^7 = 2187
Maricella plots two ordered pairs on the grid below.
On a coordinate plane, points are at (6, 2) and (8, 6).
The line segment is extended to cross both axes. What is the location of the y-intercept on the line?
(0, –22)
(0, –10)
(0, –5)
(0, 5)
Answer:
(0, -10)
If you graph the points and follow where the line would go, then it would hit these coordinates.
Answer:
(0,-10)
Step-by-step explanation:
someone who can actually give the answer please answer this please! do not put nothing crazy or get reported!!
Find the zeros of this polynomial.
Answer:you’ll find the answer just by understanding and looking at the photo
Step-by-step explanation:
Elijah needs to buy some cat food. At the nearest store, 6 bags of cat food costs $24.75. How much would Elijah spend on 3 bags of cat food
*ONLY TYPE THE AMOUNT/ROUND TO THE NEAREST HUNDRED*
Answer: the original answer is 75.25 but rounded to the hundredths would be 100
Step-by-step explanation: brainliest please? ^^
Estimate the answer by rounding each fraction to the nearest whole number and then adding. 13 7/10 + 10 1/8
9514 1404 393
Answer:
24
Step-by-step explanation:
The rounded numbers are ...
13 7/10 = 13.7 ⇒ 14
10 1/8 = 10.125 ⇒ 10
The sum of the rounded numbers is 14 +10 = 24.
The estimate of the sum is 24.
if f(x)=3x-4 and g(x)=x^2 -1
what is f(g(-3))?
a) -34
b) 8
c) 20
d) 168
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of CD player with a selling price of $110
Answer:
Total Cost = 1.05x
CD Player cost = 110*1.05 = $115.50
Step-by-step explanation:
el área de un mosaico es de 900cm2 ¿cuánto mide por lado cada mosaico
Answer:
El lado de cada mosaico tiene una longitud de 30 cm.
Step-by-step explanation:
El area de un mosaico cuadrado es:
[tex]A=l^{2}[/tex]
Donde l es el lado del mosaico.
Entonces, si sabes que el area es 900 cm², el lado valdra:
[tex]900=l^{2}[/tex]
[tex]l=\sqrt{900}[/tex]
[tex]l=30\: cm[/tex]
Por lo tanto el lado de cada mosaico tiene una longitud de 30 cm.
Espero te haya servido!
I’ll give brainlist to anyone that can help me
Answer:
80 ft
Step-by-step explanation:
if 1 = 20 then 20 is width but ? is length
1=20
2=40
3=60
4=80
since 4 in is length then actual length is 80ft
Answer:
80ft
Step-by-step explanation:
hope this helps
Solve for xxx.
Your answer must be simplified.
15 < -5 x
Answer:
x < - 3
Step-by-step explanation:
Given
15 < - 5x
Divide both sides by - 5, reversing the symbol as a result of dividing by a negative quantity
- 3 > x , that is
x < - 3
The simplified expression is x < -3.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The expression is 15 < -5x
⇒ [tex]15 < -5 x[/tex]
Divide both sides by -5,
⇒ [tex]\frac{15}{-5} < \frac{-5}{-5} x[/tex]
When we divide an inequality with negative number, we need to change the sign,
⇒ [tex]-3 > x[/tex]
⇒ [tex]x < -3[/tex]
Hence we can conclude that the simplified expression is x < -3.
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If the sales tax rate is 7.5% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? What is the final cost?
Answer:
Sales Tax $2.55
Final Cost $36.55
Step-by-step explanation:
Finding sales tax
34 * 7.5%= 2.55
Multiply the tax with the original cost, that will be your sales tax
Finding final cost
34 + 2.55= 36.55
Add your sales tax with the original cost, now you have the final total
Write the equation 9 = -5x + 4 in the form ax + b = c, where c = 9.
What are the values of a and b?
Answer:
a = - 5x and b= 4
Step-by-step explanation:
So it becomes - 5x +4=9
Hope this helps pls tell if any mistakes
Answer:
dil bende ingilizce göründüğü için anlamıyoruuumm
What is the measure of arc HT?
Answer:
step 1. mHT = 2(74) = 148°. the arc measures twice the angle when crossing the circle.
Short Answer
Note: Your teacher will grade your response to ensure you receive proper credit for your answer
Describe how you would estimate the square root of a number that is not a perfect square without using a calculator
Answer:
The square root must be between the square roots of the perfect squares just above and just below your number.
For example the square root of 89 must be between 9 and 10.
Step-by-step explanation: