6. consider neyman-pearson criteria for two cauchy distributions in one dimension assume a zero-one error loss, and for simplicity a2 > a1, the same "width" b, and equal priors.

Answers

Answer 1

Given X and Omega, I has a one-to-one advantage versus Isobe. When B square need L F X. In part, determine the explicit integration given that the probability of X DX from minus infinity to infinity is one over Pi B. When you hold square dx, you get X minus A. multiply by B S Y One pie divided by two men plus pi divided by two plus five divided by two equals 1/5 times two multiplied by two. As a result, (u) is one. This is the answer to question B.

We're five B times 1/1 plus X here, one. Menace ai prize by the entire square multiplied by one or two. We are one Menace X -2 divided by B whole square times one or two when we are five times one. As a result, X minus one equals plus minus x minus a one. So, in this case, X equals one s squared divided by two. So one is a plus and one is a minus.

What is a dimension?

A dimension is a measurement that includes length, width, and height. When you discuss an object or location's dimensions, you're referring to its size and proportions.

Dimensions are just the different aspects of what we perceive to be reality.

We are acutely aware of the three dimensions that surround us on a daily basis: the length, width, and depth of all items in our universes, as well as the one dimension of time.

But here's the prospect that there are many more dimensions out there. According to string theory, one of the most influential physics theories of the last half-century, the universe has ten dimensions.

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The complete question is:

Consider Neyman-Pearson criteria for two Cauchy distributions in one dimension

p(xlu;) i=1/πb·1/ 1 + (ₓ₋ₐ₁/b)²        i=1,2

Assume a zero one error loss and for simplicity a₂>a₁ the same "width" b and equal priors

1) Suppose the maximum acceptable error rate for classifying pattern that actually in ω₁ as if it were in ω₂ in E₁. Determine the decision boundary terms of the variables given.

2) For this boundary; what is the error rate for classifying ω₂ as ω₁?

3) What is the overall error rate under zero-one loss?

4) Apply your results to the specific case b = 1 and a₁ = -1, a₂ = 1 and E₁= 0.1.

5) Compare your result to the Bayes error rate (i.e , without the Neyman- Pearson conditions)


Related Questions

what is the volume of the 3ft 25 square feet prism

Answers

45 square feet I think

someone help pleaseeeee

Answers

Answer: I think 1.2

Step-by-step explanation:

1.35

What is the value of a in this function’s equation?

A.
-1
B.
1
C.
-2
D.
2

Answers

Answer:

Because the graph has the parabol shape, so the equation of it has the function:

y = ax² + bx + c

Because the parabol has a peak at point (0; 9)

=> 9 = a.0² + b.0 + c

=> c = 9

=> The parabol has a function:

y = ax² + bx + 9

Because the parabol goes through point (3; 0)

=> 0 = a.3² + b.3 + 9

=> 9a + 3b = - 9 (1)

Because the parabol goes through point (-3; 0)

=> 0 = a.(- 3)² + b.(- 3) + 9

=> 9a - 3b = - 9 (2)

Plus (1) and (2):

=> 18.a = - 18

=> a = - 1

Substitute the result on (1)

=> b = 0

=> The function of the parabol: y = - x² + 9

=> a = - 1

=> Choose A. - 1

just random question te get points ;)

Answers

Answer:

450 eggs

Step-by-step explanation:

if an egg box can hold 10 eggs

then 45x10=450

450
if each box has 10 eggs and theres 45 then
10 times 45 is 450

6. Seeta thinks a number and subtracts 7/3 from it. She multiplies the result by 6. The result now obtained is 2 less than twice the same number she thought of. What is the number?​

Answers

Greetings from Brasil...

The number thought will be X, so

6.(X - 7/3) = 2 - 2X

X = 2

divide a⁴-16 by a+2 ​

Answers

Answer:

[tex]\textsf{Factored form}: \quad (a^2+4)(a-2)[/tex]

[tex]\textsf{Standard form}: \quad a^3-2a^2+4a-8[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{a^4-16}{a+2}[/tex]

Rewrite the exponent 4 as 2·2 and 16 as 4²:

[tex]\implies \dfrac{a^{2 \cdot 2}-4^2}{a+2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c[/tex]

[tex]\implies \dfrac{\left(a^2\right)^2-4^2}{a+2}[/tex]

[tex]\textsf{Apply the Difference of Two Squares Formula} \quad x^2-y^2=\left(x+y\right)\left(x-y\right):[/tex]

[tex]\implies \dfrac{(a^2+4)(a^2-4)}{a+2}[/tex]

Rewrite 4 in the second parentheses of the numerator as 2²:

[tex]\implies \dfrac{(a^2+4)(a^2-2^2)}{a+2}[/tex]

Apply the Difference of Two Squares Formula to (a² - 2²):

[tex]\implies \dfrac{(a^2+4)(a+2)(a-2)}{a+2}[/tex]

Cancel the common factor (a + 2):

[tex]\implies (a^2+4)(a-2)[/tex]

Expand:

[tex]\implies a^2(a-2)+4(a-2)[/tex]

[tex]\implies a^3-2a^2+4a-8[/tex]

Consecutive NUMBERSSS

Answers

Answer: The three consecutive numbers that make up -30 are -9, -10, and -11, -9 + -10 + -11 = -30. The smallest of the three consecutive numbers is -11.

Step-by-step explanation:

THIS IS FOR ALEGBRA 2 AND NO TUTOR CAN HELP ME I NEED HELP PLEASE

Answers

The number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours

How to determine the number of hours?

The given parameters can be represented using the following table of values

                               Mine 1 (x)              Mine 2 (y)   Available

Regular grade          5                            20             325

Low grade               18                             9              540

Operating cost      16000                     12000

Time                        37                                34

From the table, we understand that we are to minimize cost

This means that:

Objective function: C = 16000x + 12000y

Subject to:

5x + 20y >= 325

18x + 9y >= 540

Next, we plot the constraints on a graph (see attachment)

From the graph, we have

(x, y) = (25, 10)

This means that

Mine 1 hour = 25 hours

Mine 2 hour = 10 hours

Hence, the number of hours to operate the mines to minimize cost are Mine 1 hour = 25 hours and Mine 2 hour = 10 hours

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Put together the whole solution.
53116 is equal to 10+ 10+ 10+ 3 with a remainder.
531 divided by 16

Answers

Explanation:

531/16=(10+10+10+3) + 3

Didisor =16

Dividend=531

Quotient= 10+10+10+3

=33

Remainder=3

531-3=33*16

528=33*16

528/16=33

33=33

Simplify the expression to a single power of x. Open parentheses x to the power of begin display style bevelled 1 half end style end exponent over x to the power of begin display style bevelled 1 fifth end style end exponent close parentheses to the power of bevelled 1 fourth end exponent

Answers

The simplified form of the given expression is x raise to the power of one-thirty.

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Write down the value of

Answers

Answer:

The absolute value of 5 is the distance of 5 from the 0. So you go 1, 2, 3, 4, 5. 5 is exactly 5 to the right of 0. So the absolute value of 5 is just 5.

Step-by-step explanation:

If you were to describe a reection of triangle , what information would you need to include in your description?

Answers

Reflection over the y-axis: (x,y)→(−x,y)

Reflection over the x-axis: (x,y)→(x,−y)

When making a reflection of a triangle and describing it you would need to provide the following two details. First, over which axis the triangle is being reflected over. Secondly, the exact location of each reflected point of the triangle. Doing so would describe how the triangle is being reflected and which point is ending up in which location. Thus, letting the viewer/reader know exactly what is being done to the triangle

Triangle reflection is the figure obtained when a triangle is flipped on a coordinate system based on a line of reflection.

Reflection over the y-axis: (x,y)→(−x,y)

Reflection over the x-axis: (x,y)→(x,−y)

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to determine customer opinion of their safety features​, daimler−chrysler randomly selects 140 service centers during a certain week and surveys all customers visiting the service centers.

Answers

cluster sampling is the type of sampling is used.

What do you mean by cluster sampling?

In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters. Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique. Typically, clusters used by researchers are already-existing groups like cities or schools. Clusters are frequently more homogeneous than the population as a whole since they are typically naturally occurring groups, such as schools, cities, or houses. When conducting your study, you should be aware of this as it might compromise the validity of your findings.

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a right circular cylinder, a, has radius r and height h. another right circular cylinder, b, has radius 3r and height 2h. what is the ratio of the volume of a to the volume of b ?

Answers

The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.

According to the given question.

We have two right circular cylinder, a nd b.

Also,

The radius of right circular cylinder, a is r.

The height of the right circular cylinder, a is h.

The radius of the right circular cylinder, b is 3r.

And the height of the right circular cylinder, b is 2h.

As we know that, the volume of a cylinder can be calculated using the formula V=πr^2(h). Where r is the radius and h is the height of the cylinder.

So, the volume of the right circular cylinder a  = πr^2h

And, the volume of the right circular cylinder b = π(3r)^2(2h) = 18hr^2π

Therefore,

The ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b

= πr^2h/18hr^2π

= 1:18

Hence, the ratio of the volume of the rigth circular cylinder a to the volume of the right circular cylinder b is 1: 18.

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express the limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 xi2) δx, [2, 6] i

Answers

The limit as a definite integral on the given interval. lim n→[infinity] n xi ln(1 xi2) δx, [2, 6] {62xlnc 1+X2} dx

As per the given question

Lim n - infinite n xi ln (1×i2) € x = (A,B) =(2,6)

We have to put the formula of Reimann sum

That is Rn = Sigma x ni = 1f (xi) ∆x

Comparing the evolved formula with the given expression we get

f (xi) = xi ln (1×2i)

Back substitute the variable x for xi

Thus the definite integral is

( 6 2 x ln (1+X2)) dx

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599 tickets sold for a play. there were 51 fewer student tickets sold than adult tickets. how man adult tickets were sold

Answers

Answer: Adult tickets were sold = 325

Step-by-step explanation:

Let, A = Number of adult tickets sold

S = Number of student tickets sold

Total number of tickets=599

Therefore:

                           A + S = 599

If, there were 51 fewer student tickets sold them adult tickets.

Since,

                            S=A-51

So, substitute A-51 for the value of the first equation.    

                            A+S=599    

                        A+(A-51)=599

Expanding to get:

                            2A-51=599

Solve to get:

                          2A=599+512

                          A=650A

                          A=325

So, A=325 adult tickets were sold.

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I need Help please with aleks

Answers

Answer:i do hope this helps 1 should be f(x)=0 0=sqrt-2+2

2 should be f(x)=343.0029154 343.0029154=sqrt7^6+2

3 should be f(x)=6 6=sqrt34+2

4 should be f(x)=10 10=sqrt98+2

and im sorry if im wrong

I’m really confused on number 3 please helppp

Answers

Answer:

See explanation

Step-by-step explanation:

a. Skewed to the right since the tail of the graph is on the right

b. Each bar is 3 values. 7*3=21 values

c. The bars are taller for lower numbers. Hence, the question could be about age. "Who likes to watch cartoons?"

6. Which is the best buy for a box of oat cereal? a. 10 ounces for $2.69 b. 12 ounces for $3.18 c. 16 ounces for $4.08 d. 24 ounces for $5.88​

Answers

Answer:

123910-w137762 cotkw

naodiskd

How many negative real zeros are possible for a polynomial function f, given that f(−x) has 9 variations in sign? (Select all that apply.)
*1
*2
*3
*4
*5
*6
*7
*8
*9

Answers

The possible number of negative real zeros in the polynomial function is 9

What are the zeros of a polynomial function?

The zeros of a polynomial function are the x-intercepts of the function i.e. the points where the graph of the polynomial function cross the x-axis

How to determine the number of negative real zeros?

The given parameters are

The polynomial function, f(x)

f(−x) has 9 variations in sign

The number of variation in sign represents the possible number of negative real zeros

Recall that

The x-intercept (or the zeros) of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

This means that

Number of negative real zeros = variation in sign

So, we have

number of negative real zeros = 9

Hence, the possible number of negative real zeros in the polynomial function is 9

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There are 8 guests at lincoln's party. if each guest will be served exactly 1/4 pint of ice cream, how many pints of ice cream will he need? express your answer in simplest form.

Answers

Answer:

2 pints

Step-by-step explanation:

if you add all of it up you get 2 pints.

1/4*8 = 2 pints

PLEASE HELP What is 20.?

Answers

I’m guessing 68 cause of parallel lines and angle property with the 180 degree line

alana drew a scale drawing of an apartment. the broom closet, which is 6 feet wide in real life, is 3 inches wide in the drawing. what is the scale of the drawing?

Answers

The scale factor of Alana's drawing is 3: 72.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Dimension in real = 6 feet

Since,

1 feet = 12 inches

6 feet = 72 inches

Dimension in drawing = 3 inches.

Scale factor = Dimension in drawing / Dimension in real

Scale factor = 3/72

Hence "The scale factor of Alana's drawing is 3: 72".

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Click and drag like terms onto each other to simplify fully.
6+6y-7-6y-2y+3y²
You must answer all questions above in order to submit.
attempt 1 out of

Answers

Answer:

pls rate as brainliest it will really go a long way

The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.

1.4 x 101
7 x 101
143 x 101
7 x 103

Answers

The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.

Here,

The length of a bacterial cell is about 5 x 10⁻⁶ m.

The length of an amoeba cell is about 3.5 x 10⁻⁴ m.

We have to find the how many times the bacterial cell is smaller than the amoeba cell.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now,

The length of a bacterial cell is = 5 x 10⁻⁶ m.

The length of an amoeba cell is = 3.5 x 10⁻⁴ m.

Hence, The size of cell is calculated as =  3.5 x 10⁻⁴ ÷ 5 x 10⁻⁶

                                                            = 0.7 x 10²

                                                            = 7 x 10¹

Therefore, The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.

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Answer:

7 x 10^1 (i got it right on the exam)

y=6x2-12x+1 axis of symmetry

Answers

12













Step by step explanation

if you want to change the order of operations in a formula, use these around the part of the formula you want to calculate first.

Answers

To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.

Parentheses allow you to group elements in a cell.  This allows you to create more complex and more powerful formulas.

Consider the expression 6+4*2.

The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.

Now consider the expression (6+4)*2.

If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.

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To change the order of operations in a formula, use parentheses around the part of the formula you want to calculate first.

Parentheses allow you to group elements in a cell.  This allows you to create more complex and more powerful formulas.

Consider the expression 6+4*2.

The above formula gives result as 14 because Excel performs multiplication before addition. The formula multiplies 4 by 2 and then adds 6 to the result.

Now consider the expression (6+4)*2.

If you use parentheses to change the syntax, Excel adds 6 and 4 together and then multiplies the result by 2 to produce 20.

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Rewrite, using the distributive
property.
1(19c+30) = [?]c + [ ]

Answers

Answer:

19c + 30

Step-by-step explanation:

Distributive property : a(b+c) = ab + ac

Explanation : simply multiply the value on the outside of the parenthesis by both the values on the inside of the parenthesis.

Here we have 1(19c + 30)

To distribute, we multiply 1 by both 19c and 30

1 x 19c = 19c

1 x 30 = 30

We're left with 19c + 30

C=59(F−32)


The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?


A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.


A) I only

B) II only

C) III only

D) I and II only


Who ever answers this first correctly and show explanation gets brainliest

Answers

ANSWER:

d

ANSWER EXPLANATION: Think of the equation as an equation for a line

y=mx+b

where in this case

C=59(F−32)

or

C=59F−59(32)

You can see the slope of the graph is 59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.

C=59(F)

C=59(1)=59

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 95 degrees Fahrenheit.

C=59(F)

1=59(F)

(F)=95

Since 95 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C=59(F)

C=59(59)

C=2581(whichis≠1)

An increase of 59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

Answer:

D) i and ii

Step-by-step explanation:



from given equation, we can simplify =
1.8 C = F-32 .....................i
F = 1.8 C +32 ....................ii




now,  from (i)
1.8 (C+1 ) = 1.8 C + 1.8 = (F +1.8) -3.2
so increasing 1 C  equivalent to 1.8 F ........... iii

from iii,
increasing (1/1.8) C or (5/9) C equivalent to (1.8/1.8) F or 1 F


increasing (5/9)/ (5/9) or (25/81) C equivalent to 5/9 degree F
(so given iii become false)


only i and ii is true = D





Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f + g) (2) = given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f - g) (6) = given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f g) (2) =

Answers

(f + g) is { (2,6) ,(6,11) ,(9,14),(12,17) } and (f - g) is  { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the functions f and g

f  = {(0, 1), (2, 4), (4, 6), (6, 8)}

g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}

Now,

f + g is nothing but the sum of x and y corresponding

For example (0,1) + (2,5) = (2 ,6)

Similarly  (0,1) - (2,5) = (-2,-4)

So,

(f + g) = { (2,6) ,(6,11) ,(9,14),(12,17) }

(f - g) = { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}

Hence "(f + g) is { (2,6) ,(6,11) ,(9,14),(12,17) } and (f - g) is  { (-2,-4) ,(-2,-3) ,(-1,-2),(0,-1)}".

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