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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Find the mean,median,mode, and range:5,2,5,2
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
x²+8x-84=0
Formúla General
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]
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?
[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]
Expand- 2.5( - 3+ 4n + 8)
Answer:
10n + 12.5
Step-by-step explanation:
When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:
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
#every one when im in public be like
Answer:
lol
Step-by-step explanation:
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?
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
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?
plz help, just look at the picture
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
Find the area of the figure below. 7 cm
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
Answer:
185
Step-by-step explanation:
Hope this helps
x^5 ⋅ x^9
can someone help
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
porque el factor común está relacionado con la propiedad distributiva
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
iki sayının oranı 5/8 dir bu iki sayının farkı 24 olduğuna göre toplamı kaçtır
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.
ALGEBRA 15 POINTS please help will give 15 points
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).
Having trouble solving this
opt1.
667/1000
=66.7
hope u understand
Answer:
more like dividing the up ones with bottom ones
EX 717/1000=0.717
radius:
diameter:32 meters
circumference:
area:
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........
Calculate the result of operations, round the result to the tenth
5/2 + √2
Answer:
3.91421356237
nearest tenth
3.9
Step-by-step explanation:
How might a change in the environment affect plants differently than it would animals?
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.
evaluate 4a + b2 for a = 4 b=3
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
2x - 5[4 + 3 (x + 2)] = 9
Step-by-step explanation:
i hope you will get the answer
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 = xMARK ME AS BRAINLISTQUESTIONS ARE DOWN BELOW!!! ALL HELP WILL BE APPRECIATED AND I WILL TRY TO MARK BRAINLIEST (IF I CAN)
Answer: 90 and 110
Step-by-step explanation:
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
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 measure of the indicated angle to the nearest degree
Answer:
61.92°
Step-by-step explanation:
Sine Inverse of (75/85)
=61.92°
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?
Answer:
25 cm
Step-by-step explanation:
125/5 = 25
hope this helped?
Help please this is due in 10 minutes pleaseee I will mark you brainliest
Find the value of x. Round your answer to the nearest whole degree.
Answer:
68°
Step-by-step explanation:
arctan(x) = 5/2
does anyone know how to do this ?
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
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!!)
The sum of the angles in a triangle is 180°, If I remember correctly.
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.
Answer:
9-(-15)
Step-by-step explanation:
because it would be changed to 9+15