x and y each take on values 0 and 1 only and are independent. their marginal probability distributions are:
f(x) =1/3, if X = 0 and f(x) = 2/3 if X = 1 f(y) =1/4, if Y = 0 and f(y) = 3/4 if Y = 1 Determine corresponding joint probability distribution.

Answers

Answer 1

The corresponding joint probability distribution is:

X\Y 0 1

0 1/12 1/4

1 1/6 1/2

Since X and Y are independent, the joint probability distribution is simply the product of their marginal probability distributions:

f(x,y) = f(x) × f(y)

Therefore, we have:

f(0,0) = f(0) ×f(0) = (1/3) × (1/4) = 1/12

f(0,1) = f(0) × f(1) = (1/3) × (3/4) = 1/4

f(1,0) = f(1) × f(0) = (2/3) × (1/4) = 1/6

f(1,1) = f(1) ×f(1) = (2/3) × (3/4) = 1/2

Therefore, the corresponding joint probability distribution is:

X\Y 0 1

0 1/12 1/4

1 1/6 1/2

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Related Questions

I need help pleasee thank

Answers

Answer:

A=51

a=22.2

c=28.6

Step-by-step explanation:

∠A=180-90-39

     =51

a/sin51=18/sin39

a=22.2

c/sin90=18/sin39

c=28.6

Answer:

A=51 degrees

a=14.6 units

c=30

Step-by-step explanation:

A=180-90-39=51

a= (a=a; o=18; angle=39)

Tan(39)=a/18

0.8=a/18

14.6=a

c= (h=c; o=18; angle=39)

Sin(39)=18/c

0.6=18/c

0.6c=18

c=30

Plzzzz give me brainliest! B)

A pancake recipe calls for of a cup of powdered milk and cups of whole wheat flour for each batch of pancakes. If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat flour does she need?

Answers

Answer:

8

Step-by-step explanation:

if this helped you please vote brainiest.

She will need 8 cups.

Warren is tiling his bathroom. He wants to cut three different sizes of square tiles. Tile A must be 5 square inches, tile B must be 10 square inches, and tile C must be 15 square inches. He needs to know the side length of each tile. Part A In the table, note your guesses and checks to find the length of tile A, which has an area of 5 square inches. Estimate the value to five decimal places.

Answers

Answer:

2.36068 inches

Step-by-step explanation:

Let us recall that the area of a square is given by;

A = l^2

This is because, all the sides of a square are equal hence l=b

When A = 5 square inches

5 = l^2

l = √5

l = 2.36068 inches

Answer:

Guess Check

2.2 2.22 = 4.84 (low)

2.23 2.232 = 4.9729 (low)

2.236 2.2362 = 4.999696 (slightly low)

2.23606 2.236062 = 4.9999643236 (slightly low)

2.23607 2.236072 = 5.0000090449 (closest)

Step-by-step explanation:

Use the Distributive Property to rewrite the algebraic expression. 7(6m + 7)

wrong answers reported

Answers

Step-by-step explanation:

first, distribute 7 to 6m (this means 7 • 6m)

7 • 6m = 42m

then distribute 7 to 7 (which is 7 • 7)

7 • 7 = 49

your simplified expression is 42m + 49. i hope this helps! have a great day <3

What unit should be used to calculating fundraising for field trip

Answers

Answer:

the mcps i think

Step-by-step explanation:

Im not sure :/

6.please help this timed!!!

Answers

Answer:

X=2

Step-by-step explanation:

3x+y=11

(+)2x-y=-1 (Add so you get rid of the y's)

5x=10

5x/5=10/5

x=2

GameStop is going out of business and everything is 60% off. What is
the new price of a game that regularly costs $58.99?

Answers

Answer:

With original price $58.99 and 60% off,

Final price: $23.60

Saved amount: $35.39

Step-by-step explanation:

(b) A circle has radius 26 cm and length of its chord is 48 cm. Find how far is the
chord from the centre of the circle?​

Answers

Answer:

22cm

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Solve for a, 7-a=3 A.10 B.4 C.2 D5

Answers

Answer:

B

Step-by-step explanation:

7 - a + 3

subtract 7 from both sides.

-a = 3 - 7

add like terms (3 + - 7)

-a = -4

divide both sides by -1. (remember that in front of the a, a 1 is there.)

a = 4

answer: b. 4

A cereal box has a length of 9 inches, a width of 3 inches, and a height of 13 inches. What is the volume of the cereal box?

Answers

Answer:

351 is the answer to how much volume a cereal box has

Answer:

352

Step-by-step explanation:

all you do is multiply 9×3×13

Which is the simplified version of:
7x + 12 + 3x = -6 (x - 7) + 9x

A. 5x = -30

B. 7x = -54

C. 7x = 30

D. 7x = -19

PLEASE DON’T GUESS :(
Will mark brainliest if your rightƪ(˘⌣˘)ʃ

Answers

Answer:

The answer is letter D

Step-by-step explanation:

Answer:

7x+3x=10x

-6(x-7)= -6x+42

then 10x+12=-6x+42+9x

10x+12=3x+42

10-3=42_12

7x=30

then the correct answer is C

solve this please for me

Answers

Answer:

c is answer plz see the pic it's the solution

Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?

Answers

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

please help me on this will give you brainliest

Answers

The answer is 57.603. The thousandths place is the third place to the right of the decimal point

Answer:

57.603

Step-by-step explanation:

We can separate this into two sections, using the and:

Fifty-seven - simply the whole number 57

Six hundred three thousandths - This could be intrepreted as 0.603, which is confirmed through the "3" being in the thousandths place.

Sorry that took so long! I had to think a bit about this one

hey can anybody solve this​

Answers

Answer:

34ft.sq

Step-by-step explanation:

Area of the given triangle = 1/2 * base * height

=1/2*17*4

=17*2

=34 ft.sq

Answer:

34 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 17 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 17 × 4 = [tex]\frac{1}{2}[/tex] × 68 = 34 ft²

The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?

- The winning time increased by an average of 0.267 second per year from year 2 to year 4.

- The winning time increased by an average of 0.8 second per year from year 2 to year 4.

- The winning time increased by an average of 0.4 second per year from year 2 to year 4.

- The winning time increased by an average of 0.475 second per year from year 2 to year 4.

Answers

Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.

The winning time for a race displayed in the table would be:

C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Find the increase in winning time:

Given that,

Year                             Winning Time(seconds)

1                                          27.5

2                                         28.4

3                                         28.7

4                                         29.2

5                                         29.44

Hence, The total change in the time is,

= (0. + 0.3 + 0.5 + 0.24)/4

= 0.485 seconds

Now, If we round off, it becomes 0.5 seconds.

Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.

Thus, ''Option C'' is the correct answer.

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How do you find 15% of 160?​

Answers

Divide 160 by .15 because when you want to divide a number by a percent, you move the decimal in front of the percent number.
1) Find 10% = 16
2) Find 5% = 8
3) Therefore 15% = 10% + 5% = 24

On sale , the original price of every jacket in a store is reduced by 20% . Later , this sale price is further reduced by another 20% to create a final price . The store could have reduced the original price directly to the final price by what single percent ?

Answers

Answer:

40%

Step-by-step explanation:

20% + 20% = 40%

Hope this helps!

Susie bought 6 yards of fabric to make scarves. She estimates that it takes 3/5 yard to make huge scarf. How many scarves can Susie make?

Answers

Susie can make 10 scarves.
6 is divided by 3/5. To do that, multiply the denominator by the whole number. Which would be 6x5=30 . Then what is left is 30/3 which is 10.
Numerator= 3
Denominator=5
Whole number= 6

The image of the point (8,1) under a translation is (9,2). Find the coordinates of
the image of the point (5,5) under the same translation.

Answers

1-2-3-4-5-6-7-8-9-10

0.10)/%

a water cooler shaped like a rectangular prism has length of 80 centimeters a width of 40 centimeters and height of 100 centimeters what volume of water is needed to fill the water cooler

Answers

[tex]volume = lwh[/tex]

[tex]volume = (80)(40)(100)[/tex]

[tex]volume = 320000 \: {cm}^{3} [/tex]

You need a volume of 320000 cm³ of water to fill the water cooler.

Evaluate the expression,
if x = 9, y = 14, and z = 6.
X•y-z2

Answers

Answer:

90

Step-by-step explanation:

6^2=36

9*14=126

126-36=90

Answer:

90

Step-by-step explanation:

X ° Y - z2 =

9 x 14 - 6 x 6 =

126 - 6 x 6 =

126 - 36 = 90

Bodmas is used for this equation, the order of the sums that you should do:

1. The sum in the bracket

2. Division

3. Multiplication

4. Addition

5. Subtraction

Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.

What is the simplified form of this expression? (-3x2 + x + 5) − (4x2 − 2x) A. 7x2 + 3x − 5 B. -7x2 + 3x + 5 C. X2 − x + 5 D. -x2 + 3x − 11

Answers

The correct answer is B. Combine like terms.

1 + (2/3) - (-9/2) =

Answers

Answer..............

Answer:

- 4 1/6

Step-by-step explanation:

im not sure its right

Please help me 3x+y=-3

Answers

Answer:

x=0 y=-3

Step-by-step explanation:

PLEASEEE HELP 50 POINTS,
Suppose you were an American soldier in the American Revolution. You are asked to write a short essay about the person who most inspired the Continental army to win the war. You have chosen George Washington. The title of your essay is “How General Washington Inspired the Continental Army to Win the War.”
Your essay should have three paragraphs:
• The first paragraph describes characteristics of General Washington that prepared him for his role as commander of the Continental army.
• The second paragraph supports your choice by citing two events at which Washington provided inspiration.
• The third paragraph identifies how these actions or events led to an American victory.
Make sure to express your ideas clearly. Use evidence from the text!

Answers

Answer:

george washington

Step-by-step explanation:

Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?

Answers

What is the question you are asking?

Answer:

it a i had the same one

Step-by-step explanation:

Evaluate the function when x=−2, 0, and 5.

g(x)=3x−2


g(−2)=

g(0)=

g(5)=


I'm very confused, please help!

Answers

g(x) = 3x-2
g(-2) = 3(-2) - 2
g(-2) = -6-2
g(-2) = -8

g(0) = 3(0)-2
g(0) = 0-2
g(0) = -2

g(5) = 3(5)-2
g(5) = 15-2
g(5) = 13

Answer:

Step-by-step explanation:

g(x)=3x−2

g(−2)= 3(-2) - 2 (after substituting -2 for x):  g(-2) = -6 - 2 = -8

g(0)=  3(0) - 2 = -2

g(5)=  3(5) - 2 = 13

Find the product of (x + 5)(x − 5). Group of answer choices x2 − 10x + 25 x2 + 10x + 25 x2 − 25 x2 + 25

Answers

First I will tell you the formula for this, then I will show how we got the formula, then the answer.

Formula -> (x+a)(x-a)=x^2-a^2

We can find this by expanding the 2 (  )

(x+a)(x-a)=x^2+ax-ax-a^2=x^2-a^2

Now we can use this to solve your problem, the 5 is the a in the formula.

(x+5)(x-5)=x^2-5^2=x^2-25. Therefore choosing the 3rd answer choice.

write the product using exponents ​

Answers

Answer:

11^5

Step-by-step explanation:

11^5 because your multiplying 11 by itself 5 times

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