Consider two random variables X and Y with joint probability mass function pxy(0,0) 0.4, pxy(0,1) = 0.1, pxv(1,0) = 0.2, pxy(1, 1) = 0.3. Find the correlation E[XY]. (a) 0.1 (b) 0.2 (c) 0.3 (d) 0.4 (e) 0.5 (f) 0.6 (g) 0.8 (h) 0.9 (i) 1.0

Answers

Answer 1

Considering two random variables X and Y with joint probability mass function pxy(0,0) 0.4, pxy(0,1) = 0.1, pxv(1,0) = 0.2, pxy(1, 1) = 0.3, the correlation E[XY] is 0.5. The correct answer is option e.

To find the correlation E[XY] for the given joint probability mass function, we need to calculate the expected value of the product XY. The correlation between X and Y is defined as:

E[XY] = ∑x ∑y (xy) pxy(x, y)

Let's calculate the expected value:

E[XY] = (0)(0) * pxy(0,0) + (0)(1) * pxy(0,1) + (1)(0) * pxy(1,0) + (1)(1) * pxy(1,1)

= 0 * 0.4 + 0 * 0.1 + 1 * 0.2 + 1 * 0.3

= 0 + 0 + 0.2 + 0.3

= 0.2 + 0.3

= 0.5

Therefore, the correlation E[XY] is 0.5. So option e is correct.

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Related Questions

plz help, just look at the picture ​

Answers

Answer:

<2, <3, <4

Step-by-step explanation:

You have parallel lines cut by a transversal, so alternate interior angles are congruent. Also, alternate exterior angles are congruent. Corresponding angles are congruent.

Vertical angles are always congruent.

I'll write each congruent angle and the reason.

<2, vertical

<3, corresponding

<4, alternate exterior angle

Ander makes a scale drawing of a tower. He uses scale of ' 1 cm represents 5 m. The tower in real life is 125 m high. How high is the tower on the scale drawing?

Answers

Answer:

25 cm

Step-by-step explanation:

125/5 = 25

hope this helped?

QUESTIONS ARE DOWN BELOW!!! ALL HELP WILL BE APPRECIATED AND I WILL TRY TO MARK BRAINLIEST (IF I CAN)

Answers

Answer: 90 and 110

Step-by-step explanation:

x²+8x-84=0

Formúla General ​

Answers

Answer:

                [tex]x_{1} =-14\\\\x_{2} =6[/tex]

Step-by-step explanation:

[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]

radius:
diameter:32 meters
circumference:
area:​

Answers

Given diameter is 32, radius would be 16 bc radius is always half of diameter, and circumference would be 2(pi)*radius, which would be 100.5309649.... and area is (pi)*radius^2 which would be 804.2477193........

When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:

Answers

Answer:

11

Step-by-step explanation:

Work backwards and reverse the operations to find the original number.

Reverse the operations for add four: 8 - 4 = 4

Reverse the operations for take the square root: 4² = 16

Reverse the operations for subtract six: 16 + 6 = 22

Reverse the operations for double the number: 22 ÷ 2 = 11

Find the area of the figure below. 7 cm​

Answers

Answer:

Area tells us the size of a shape or figure. It tells us the size ... The rectangle above has an area of 15 square units. The area of a ... Area = 7 cm x 6 cm = 42 cm2.

Step-by-step explanation:

Can someone help me find the area of this ? If you can thank you so much , it's been awhile since I've done it ​

Answers

Answer:

185

Step-by-step explanation:

Hope this helps

Last year, 576 students attended a local middle school. This year, 721 students attended the school. What is the approximate percent increase in the number of students at the school?

Answers

The answer is 145 I hope that helps all you got to do is subtract 721 from 576

Caraline wants to compare the expression's -15-9 and 9-(-15) to determine which result is greater.How cab she do this without finding the value of rach difference? Explain your reasoning.​

Answers

Answer:

9-(-15)

Step-by-step explanation:

because it would be changed to 9+15

2x - 5[4 + 3 (x + 2)] = 9​

Answers

Step-by-step explanation:

i hope you will get the answer

x = -59/13

Step-by-step explanation:

2x - 5 ( 4 + 3 ( x + 2 ) ) = 92x - 5 ( 4 + 3x + 6 ) = 92x - 5 ( 3x + 10 ) = 92x - 15x - 50 = 9-13x - 50 = 9-50 - 9 = 13x-59/13 = x

MARK ME AS BRAINLIST

What is StartFraction 4 Over 5 EndFraction divided by one-third A fraction bar. The top bar is labeled 1. 3 bars underneath the bar are labeled one-third. 5 bars underneath the 4 bars are labeled one-fifth. 15 bars underneath the 5 bars are labeled StartFraction 1 Over 15 EndFraction. The quotient is 2 and

HURRY PLEASE IM TIMED

Answers

Answer:

its 2/5

Step-by-step explanation:

What is Start Fraction 4 Over 5 End Fraction divided by one-third A fraction bar you may ask? The top bar is labeled 1.3 bars underneath the bars are labeled one-third. So, 5 bars underneath the 4 bars are labeled one-fifth. And 15 bars underneath the 5 bars are labeled Start Fraction 1 Over 15 End Fraction. The quotient is ??? well it would be 2 and all you have to do is figure it out so the answer is below.

Well, the correct fraction would be 2 and 2/5 because this is what the model shows.

Find the value of x. Round your answer to the nearest whole degree. ​

Answers

Answer:

68°

Step-by-step explanation:

arctan(x) = 5/2

iki sayının oranı 5/8 dir bu iki sayının farkı 24 olduğuna göre toplamı kaçtır​

Answers

Answer:

x = -40 and y = -64

Step-by-step explanation:

The ratio of the two numbers is 5/8, since the difference of these two numbers is 24, what is the sum

Let two numbers be x and y.

ATQ,

x-y = 24 ..(1)

and

[tex]\dfrac{x}{y}=\dfrac{5}{8}[/tex]

or

8x-5y =0 ...(2)

Multiply equation (1) by 8.

8x-8y = 192 ...(3)

Subtract equation (3) from (2).

8x-5y -(8x-8y) = 0-192

-5y+8y = -192

3y = -192

y = -64

Put the value of y in equation (1).

x-(-64) = 24

x+64 = 24

x = -64+24

x = -40

So, the values of x and y are -40 and -64 respectively.

Each earbud is 4/7 of an inch long. If you put 8 earbuds end to end, how long would they be from beginning to end?​

Answers

Answer:

4 4/7

Step-by-step explanation:

4/7x8/1

4x8/7x1

32/7

4 4/7

Answer:

The answer is 4 4/7.

Step-by-step explanation:

4/7 x 8 = 32/7

32/7 = 4 4/7

x^5 ⋅ x^9

can someone help

Answers

Answer:

x^14

Step-by-step explanation:

[tex]x^{5}*x^{9}=x^{(5+9)}=x^{14}[/tex]

Answer:

x^14

Step-by-step explanation:

Use the power rule a^m a^n=a^m+n  

x^5+9

add 5 and 9

x^14

ALGEBRA 15 POINTS please help will give 15 points

Answers

Answer:

angle FEX is 105

Step-by-step explanation:

x=30 just plug that in and check(i already did but if u want to u can do it too).

The answer is 3(30)+15 which would equal 105 degrees

evaluate 4a + b2 for a = 4 b=3

Answers

Answer:

22

Step-by-step explanation:

We substitute the numbers for the letters to get 4*4 + 3*2 and then we multiply. 16 + 6 which equals 22. I hope this helps and please mark brainliest!

Answer:

22

Step-by-step explanation:

4a + b2

4(4) + (3)2

4 x 4 = 16

3 x 2 = 6

16 + 6 =

22

Calculate the result of operations, round the result to the tenth

5/2 + √2

Answers

Answer:

3.91421356237

nearest tenth

3.9

Step-by-step explanation:

Find the mean,median,mode, and range:5,2,5,2

Answers

Answer:

Mean = 3.5

Median = 3.5

Mode = 5, 2

Step-by-step explanation:

Hope that helps!

Mean: To find the mean, simply add the numbers together and divide by the amount of numbers in the set:

Mean: (5 + 2 + 5 + 2)/4

= (14)/4

= 3.5

Mean = 3.5

Median: To find the median, simply order from least to greatest, and find the middle number in the set. That is your median. In the case of an even amount of numbers in the set, find the mean with the two median numbers (as in this case):

Median: (2 + 5)/2

= 7/2

= 3.5

Median: 3.5

Mode: The Mode is the number that shows up the most frequently. As both given numbers show up the same amount of times (twice), there is no mode.

Mode: None.

Range: The Range is found by subtracting the greatest number with the least number:

5 - 2 = 3

Range: 3

Mori is building a cage for his pet guinea pig. The bottom is 8 inches
long and 8 inches wide. How big is the bottom of the cage?

Answers

[tex]area = lw[/tex]

[tex]area = (8)(8)[/tex]

[tex]area = 64 \: {inches}^{2} [/tex]

//

[tex]perimeter = 2(l) + 2(w)[/tex]

[tex]perimeter = 2(8) + 2(8)[/tex]

[tex]perimeter = 32 \: inches[/tex]

Having trouble solving this

Answers

opt1.

667/1000

=66.7

hope u understand

Answer:

more like dividing the up ones with bottom ones

EX 717/1000=0.717

porque el factor común está relacionado con la propiedad distributiva​

Answers

Answer:

El factor común se relaciona con la propiedad distributiva, ya que el factor común corresponde a la agrupación de expresiones comunes en una operación, de manera que éstas lleguen a ser simplificadas

Question 4 (3 points)
What is the sum of the angle measures in this shape?
degrees
(I have to fill in the blank, please hurry I’ll give brainliest!!)

Answers

The sum of the angles in a triangle is 180°, If I remember correctly.

#every one when im in public be like

Answers

Answer:

lol

Step-by-step explanation:

How might a change in the environment affect plants differently than it would animals?

Answers

Answer:

Some plants need certain things in their environment, so if their environment changes it could make the plants not grow. Animals would most likely either move to a different area or would get used to the change.

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

61.92°

Step-by-step explanation:

Sine Inverse of (75/85)

=61.92°

Help please this is due in 10 minutes pleaseee I will mark you brainliest

Answers

A) The slope is 14 or 14/1B) The y-intercept is (0,30) or 30y = 14x + 30The +30 is the y-interceptThe 14x is the slopePlease let me know if I am wrong.

Expand- 2.5( - 3+ 4n + 8)

Answers

Answer:

10n + 12.5

Step-by-step explanation:

does anyone know how to do this ?

Answers

9514 1404 393

Answer:

  y = 21

Step-by-step explanation:

In straightforward fashion, we can find the midpoints of the two segments, and set the distance between them equal to 10.

  M = midpoint of AB

  M = (A+B)/2 = ((-1, 0) +(-3, 6))/2 = (-4, 6)/2 = (-2, 3)

  N = midpoint of CD

  N = (C+D)/2 = ((3, 1) +(5, y))/2 = (8, 1+y)/2 = (4, (1+y)/2)

Then the distance MN is given by the distance formula.

  |N-M| = 10 = √((4 -(-2))² +((1+y)/2 -3)²) . . . . . distance formula*

  100 = 36 +((1+y)/2 -3)² . . . . . square both sides

  64 = ((1 +y)/2 -3)² . . . . . . . . . subtract 36

  8 = (1 +y)/2 -3 . . . . . . . . . . . . (positive) square root

  11 = 1+y/2 . . . . . . . . add 3

  22 = 1+y . . . . . . . . . multiply by 2

  21 = y . . . . . . . . . . . subtract 1

_____

* The distance formula is an application of the Pythagorean theorem. Basically, the differences of x- and y-coordinates are taken to be the legs of a right triangle. They length of the hypotenuse is the distance between the two points.

  d² = (x2 -x1)² +(y2 -y1)² . . . . . . . from the Pythagorean theorem

  d = √((x2 -x1)² +(y2 -y1)²) . . . . . the usual distance formula

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