(1 point) The bivariate distribution of X and Y is described below: X Y 12 10.290.49 20.110.11 A. Find the marginal probability distribution of X. 1: 2: B. Find the marginal probability distribution o
Answers
A. The marginal probability distribution of X is P(X = 12) = 10.78
P(X = 20) = 11.12
For the marginal probability distribution of X, we need to sum the probabilities of all possible values of X, regardless of the value of Y.
From the given bivariate distribution:
X Y
12 10.29
0.49
20 11.01
0.11
The possible values of X are 12 and 20. We can calculate the marginal probability for each value of X by summing the probabilities of the corresponding rows.
For X = 12:
P(X = 12) = P(X = 12, Y = 10.29) + P(X = 12, Y = 0.49)
= 10.29 + 0.49
= 10.78
For X = 20:
P(X = 20) = P(X = 20, Y = 11.01) + P(X = 20, Y = 0.11)
= 11.01 + 0.11
= 11.12
Therefore, the marginal probability distribution of X is:
P(X = 12) = 10.78
P(X = 20) = 11.12
B. For marginal probability distribution of Y, we need to sum the probabilities of all possible values of Y, regardless of the value of X.
From the given bivariate distribution:
X Y
12 10.29
0.49
20 11.01
0.11
The possible values of Y are 10.29, 0.49, 11.01, and 0.11. We can calculate the marginal probability for each value of Y by summing the probabilities of the corresponding columns.
For Y = 10.29:
P(Y = 10.29) = P(X = 12, Y = 10.29)
= 10.29
For Y = 0.49:
P(Y = 0.49) = P(X = 12, Y = 0.49)
= 0.49
For Y = 11.01:
P(Y = 11.01) = P(X = 20, Y = 11.01)
= 11.01
For Y = 0.11:
P(Y = 0.11) = P(X = 20, Y = 0.11)
= 0.11
Therefore, the marginal probability distribution of Y is:
P(Y = 10.29) = 10.29
P(Y = 0.49) = 0.49
P(Y = 11.01) = 11.01
P(Y = 0.11) = 0.11
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Related Questions
PLSS HELP DUE IN 4 MINS
Answers
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
3 different types of proofs
Answers
Answer:
Direct proof
Proof by contradiction
Proof by induction
Step-by-step explanation:
In geometry
What is the y-intercept for -1,3 1,-2
Answers
last question that’s like this! i need help!
Answers
Answer:1.arithmetic 2.Non-Arthmetic 3.Non-Arthmetic
Step-by-step explanation:
Answer:
1 arithmetic 2 non arithmetic
Triangle CDE, with vertices C(4,4), D(7,8), and E(2,9), is drawn inside a rectangle, as shown below.What is the area, in square units, of triangle CDE?
Answers
The area of triangle CDE is 17.5 square units.
How to find the area of a triangleTo find the area of triangle CDE, we can use the general formula:
Area = 1/2 * base * height where the base and height are two sides of the triangle. We can also use the distance formula to find the lengths of these sides.
First, let's find the length of side CD: CD = sqrt[(7-4)² + (8-4)²] = sqrt[3² + 4²] CD = √25 = 5
Next, let's find the length of side DE: DE = sqrt[(2-7)² + (9-8)²] = sqrt[5² + 1²] = DE = √26
Now, we need to find the height of the triangle. One way to do this is to use the formula for the area of a triangle:
Area = 1/2 * base * height
Rearranging this formula, we get: height = 2 * Area / base
We know the base is CD, which we found to be 5. We can find the area of triangle CDE using the shoelace formula, which gives:
Area = 1/2 * |(48 + 79 + 24) - (47 + 82 + 94)| = 17.5
Therefore, the height of triangle CDE is: height = 2 * Area / base = 2 * 17.5 / 5 = 7
Now we can use the formula for the area of a triangle to find the area of triangle CDE: Area = 1/2 * base * height = 1/2 * 5 * 7 = 17.5
Therefore, the area of triangle CDE is 17.5 square units.
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what is 9,342 x 4,915 in math
Answers
Answer:
45915930
Step-by-step explanation:
The easiest way to multiply numbers up to a thousand would be to break it apart, if multiplying a thousand by a thousand is hard.
You can do that by taking a number, we can use 4,915 in this case, and break it into pieces.
4,915 = 4,000 + 900 + 10 + 5
Now using this, we can multiply 9,342 by these numbers.
9,342 × 4,000 = 37,368,000
9,342 × 900 = 8,407,800
9,342 × 10 = 93,420
9,342 × 5 = 46,710
Now just add them together!
37,368,000 + 8,407,800 + 93,420 + 46,710 = 45915930
The answer is 45915930
Is y=4/x-3 linear or non-liner
Answers
Trust me it is
(20P) Help please and thanks
Answers
Answer:
121212
Step-by-step explanation:
f12121
Help me please !!!!!!!!!
Answers
Hope this helps.
Brainliest please
can you try to solve this plz
Answers
Answer:
50 dgrees
Step-by-step explanation:
staruight line is 180 so 180 minus 130 is 50
How many factors of 2020 have more than 3 factors? (As an example, 12 has 6 factors, namely 1, 2, 3, 4, 6, and 12.)
Answers
Answer:
\(10, 20, 202, 404, 505\) and \(1010\) has more than \(3\) factors.
Step-by-step explanation:
Given: A number \(2020\)
To find: How many factors of \(2020\) have more than 3 factors?
Solution:
We have,
Factors of \(2020\) are \(1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010\)
Now, we have to find the number of factors that has more than \(3\) factors. So, let us consider each factor of \(2020\) one by one.
Factor of \(1: 1\)
Factors of \(2: 1, 2\)
Factors of \(4: 1, 2, 4\)
Factors of \(5: 1, 5\)
Factors of \(10: 1, 2, 5, 10\)
Factors of \(20: 1, 2,4, 5, 10, 20\)
Factors of \(101: 1,101\)
Factors of \(202: 1,2, 101, 202\)
Factors of \(404: 1, 2, 4, 101, 202, 404\)
Factors of \(505: 1, 5, 101, 505\)
Factors of \(1010: 1, 2, 5, 10, 101, 202, 505, 1010\)
Clearly, \(10, 20, 202, 404, 505\) and \(1010\) has more than \(3\) factors.
Hence, \(10, 20, 202, 404, 505\) and \(1010\) has more than \(3\) factors.
Assuming that the sample variances are continuous measurements, find the probability that a random sample of 30 observations, from a normal population with variance 92= 5, will have a sample variance of s2 that is a) greater than 7.338; b) between 2.766 and 7.883.
Answers
a) chi-square = (30-1) * 7.338 / 5 = 42.456 b) The probability of having a sample variance between 2.766 and 7.883 is the difference between the cumulative probabilities of chi-square2 and chi-square1.
Answer to the aforemention questionsTo find the probability in both cases, we need to use the chi-square distribution with n-1 degrees of freedom, where n is the sample size.
a) To find the probability that the sample variance is greater than 7.338, we need to find the upper tail probability of the chi-square distribution.
The chi-square statistic is calculated as:
chi-square = (n-1) * s^2 / sigma^2
In this case, n = 30, s^2 = 7.338, and sigma^2 = 5.
chi-square = (30-1) * 7.338 / 5 = 42.456
b) To find the probability that the sample variance is between 2.766 and 7.883, we need to find the cumulative probability within that range.
First, we calculate the chi-square statistics for both values:
chi-square1 = (30-1) * 2.766 / 5 = 15.359
chi-square2 = (30-1) * 7.883 / 5 = 43.179
The probability of having a sample variance between 2.766 and 7.883 is the difference between the cumulative probabilities of chi-square2 and chi-square1.
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I Need Hellp! With this!!
Answers
Answer:
1/14
Step-by-step explanation:
slope = difference of y over difference of x
= (-3-(-4)) /(8 -(-6)) = 1/14
When x=0, y = -4
When y=0, x = -16
Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
Answers
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
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Perform the indicated operation and express the result as a simplified complex number. I need help with 35
Answers
Given:-
\(\frac{3+4i}{2-i}\)To find:-
The simplified form.
At first we take conjucate and multiply below and above.
The conjucate is,
\(2+i\)So now we multiply. we get,
\(\frac{3+4i}{2-i}\times\frac{2+i}{2+i}\)Now we simplify. so we get,
\(\frac{3+4i}{2-i}\times\frac{2+i}{2+i}=\frac{6+3i+8i+4(i)^2}{2^2-i^2}\)We know the value of,
\(i^2=-1\)Substituting the value -1. we get,
\(\begin{gathered} \frac{6+3i+8i+4(i)^2}{2^2-i^2}=\frac{6+3i+8i+4(-1)_{}^{}}{2^2-(-1)^{}} \\ \text{ =}\frac{6-4+11i}{2+1} \\ \text{ =}\frac{2+11i}{3} \end{gathered}\)So now we split the term to bring it into the form a+ib. so we get,
\(\frac{2+11i}{3}=\frac{2}{3}+i\frac{11}{3}\)So the required solution is,
\(\frac{2}{3}+i\frac{11}{3}\)According to the figure showing 2020 GDP for selected countries, how much larger (in percentage terms) is America's GDP than:
Answers
According to the figure showing 2020 GDP for selected countries, America’s GDP is 21.43% which is 7.19% larger than China’s GDP which is 14.24%.
A country's economic output is measured by its gross domestic product (GDP). GDP is estimated by totaling all the commodities and services produced in a nation within a predetermined time frame, typically a year. In 2020, America’s GDP was 21.43% of the total GDP of selected countries. This is 7.19% larger than China’s GDP which was 14.24% of the total GDP of selected countries.
We must use exchange rates to convert GDPs to a common currency in order to compare GDPs across nations. Once the GDPs are expressed in a similar currency, we can compare the GDP per capita of each nation by dividing the GDP by the population. Large GDPs are common in countries with big populations, although GDP is not always a reliable measure of a country's wealth. GDP per capita is a better metric.
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Complete question is:
According to the figure showing 2020 GDP for selected countries, how much larger (in percentage terms) is America's GDP than:
The G D Ps are as follow: United states, 21.43; China, 14.24; Japan, 5.08; Germany, 3.86; India, 3.87; Great Britain, 2.83; Russia, 1.70; Mexico, 1.27; Sweden, 0.53; Greece, 0.21; Haiti, 0.08.
Round your responses to the nearest whole number.
1. Russia?
______ % larger
2. Germany?
______ % larger
Please help I need to give an example of a compound event.
Answers
An example of a compound event is an event of having rolled two dice getting 6 on each. A compound event can consist of independent elementary events. This is the case when the result of any one elementary event does not have any influence on the result of another. An example with two dice above is such a compounded event.
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
Answers
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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Which statement could be used to describe the functions?
Answers
A statement could be used to describe the functions include the following: D. the domain of f(x) is (−∞, 0] while the domain of g(x) is [0, ∞).
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.
Additionally, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By using interval notation, the domain of this function shown in the graph above can be written as follows;
Domain of f(x) = {-∞, 0}
Domain of g(x) = {0, ∞}
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Please help me. I am pretty confused on this
Answers
Answer:
C
Step-by-step explanation:
16's square root is 4
Ralph's grandmother was born in 1925. ralph was born in 1990. if both ralph and his grandmother took the intelligence quotient (iq) test, who would most likely get more items correct?
Answers
Ralph would most likely get more items correct than his Grandmother.
If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.
Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.
Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.
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3/4+4/5-7/10 i dont know it
Answers
Answer:
17/20
Step-by-step explanation:
\(\frac{3}{4}\) + \(\frac{4}{5}\) - \(\frac{7}{10}\)
common denominator is 20
15/20 + 16/20 - 14/20
17/20
When the product of 6 and the square of a number is increased by 5 times the number.
Answers
The square of a number is increased by 5 times the number \(6x^{2} +5x-4=0\)
What is quadratic equation?
A quadratic equation is a second order equation written as a\(x^{2}\) + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
Product of 6 and the square of a number is increased by 5 times the number, he result is 4.
Consider x as the number,
The question can be written as:
\(6(x^{2} )+5(x)=4\)
\(6(x^{2} )+5(x)-4=0\)
Hence, the answer for the given question is \(6x^{2} +5x-4=0\).
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What is the difference between -4 and 6?
-10
-2
2
10
Answers
Answer:
the answer is 10
Step-by-step explanation:
*please give me brainliest, i only need four more*
Answer:
-10
I did the math
(-4)-6
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49. 6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49. What error did the pet store owner make? There is a multiplication error. The payment should be $48 per month. There is a multiplication error. The payment should be $58 per month. 6 goes into 288 forty-six times. The answer is $46. 6 goes into 48 nine times. $49 is correct.
Answers
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
52% of what number is 13?
Answers
52% of what number is 13 is 25.
Answer: 25
Step-by-step explanation: divide by the percentage to find the original number
13 / 0.52 = 25
A mother gives birth to a 7 pound baby. Every 3 months, the baby gains 5 pounds.
If x is the age of the baby in months, then y is the weight of the baby in pounds.
Find an equation of a line in the form y = mx + b that describes the baby's weight.
Answers
The equation of the line in the form y=mx+b that describes the baby's weight is y=5/3x+7.
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
Given, mother gives birth to 7 pound baby, so the age is 0 at that time. The 7 is the value of b in the equation, and added to the equation at the end.
x=0 y=7
x=3 y=12
x=6 y=17
The slope between each point is now determined. The slope will be because the common difference in x is 3 and the common difference in y is 5.
slope(m)= 5/3
Therefore, the equation become y=5/3x+7.
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how many cuboids are there in an 6-dimensional data cube if there were no hierarchies associated to any dimension?
Answers
In a 6-dimensional data cube with no hierarchies associated with any dimension, the total number of cuboids can be calculated as 63, using a formula based on the inclusion-exclusion principle.
For a 6-dimensional data cube, there are 2^6 - 1 = 63 non-empty subsets of dimensions. Each subset represents a cuboid. Therefore, there are 63 cuboids in a 6-dimensional data cube without any hierarchies associated with the dimensions.
This calculation is based on the concept that each subset of dimensions corresponds to a unique cuboid in the data cube. By summing up the cardinalities of all possible subsets, excluding the empty set, we arrive at the total count of 63 cuboids in the given scenario.
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details scalcet9 10.5.004. 0/100 submissions used my notes ask your teacher find the vertex, focus, and directrix of the parabola. 5x2 16y
Answers
The vertex, focus, and directrix of the parabola 5x^2 + 16y = 0 are (0, 0), (-4/5, 0), and x = 4/5, respectively.
To find the vertex, focus, and directrix of the parabola with the equation 5x^2 + 16y, we can use the standard form of the equation for a parabola:
y = (1/4p)(x - h)^2 + k
where (h, k) is the vertex and p is the distance between the vertex and the focus or the vertex and the directrix.
Comparing the given equation to the standard form, we have:
5x^2 + 16y = 0
=> 16y = -5x^2
=> y = -(5/16)x^2
From this, we can determine that the vertex is at the origin (0, 0).
To find p, we can use the formula p = 1/(4a), where a is the coefficient of x^2. In this case, a = -5/16, so p = 1/(4*(-5/16)) = -4/5.
Therefore, the vertex is (0, 0), the focus is (-4/5, 0), and the directrix is x = 4/5.
In conclusion, the vertex, focus, and directrix of the parabola 5x^2 + 16y = 0 are (0, 0), (-4/5, 0), and x = 4/5, respectively.
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74.55 divided by 5
I’m not sure of the answer I need some help
Answers
Answer:
14.91
Step-by-step explanation:
Have a good day :)
Answer:
The answer is 14.91
Step-by-step explanation:
To find the answer we must first see how many times 5 can go into 74.55. Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.