we have an urn with 10 balls numbered from 1 to 10. we choose a sample of 111 with replacement. approximate the probability of the event that the number one appears at most 3 times in the sample. use both the normal and the poisson approximation, and compare the results with the exact probability 0.00327556.

Answers

Answer 1

The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

Given that,

10 balls, numbered from 1 to 10, are in an urn. We selected a 111 person sample with replacement.

We have to calculate the probability that the number one appears in the sample no more than three times. Compare the outcomes with the precise probability using both the normal and the Poisson approximations 0.00327556.

We know that,

Let

X = number of times that 1 appears in a sample

Probability of getting 1 =1/10=0.1

Then X congruent to Binomial (111,0.1)

Now,

If we approximately X is Poisson distribution with parameter

λ = 111 × 0.1 = 11.1

Then

P(X≤3)=∑x=0 to 3 e⁻¹¹°¹(11.1)ˣ/x!

P(X≤3)= 0.00327556

If we approximate X by Normal distribution with mean

μ = 111 × 0.1 = 11.1

σ = √111 × 0.1 × 0.9 = 3.160696 then

P(X≤3) = 0.005192688

Exact probability is

P(X≤3) = 0.003275558

Hence the answer is, The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

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Related Questions

this is similar to section 4.2 problem 30: determine the indefinite integral. use capital c for the free constant. ( −1 x4 − 2 x ) dx = incorrect: your answer is incorrect. .

Answers

The correct indefinite integral of (-1x^4 - 2x) dx is -1/5 * x^5 - 2x + C, where C represents the constant of integration.

Based on the given information, the problem is to determine the indefinite integral of the expression (-1x^4 - 2x) dx, using capital C for the free constant.

It appears that the previous answer given for this problem was incorrect.

To solve this problem, we need to use the rules of integration, which include the power rule, constant multiple rule, and sum/difference rule.

The power rule states that the integral of x^n is (x^(n+1))/(n+1), where n is any real number except -1.

The constant multiple rules state that the integral of k*f(x) is k times the integral of f(x), where k is any constant. The sum/difference rule states that the integral of (f(x) + g(x)) is the integral of f(x) plus the integral of g(x), and the same goes for subtraction.

Using these rules, we can break down the given expression (-1x^4 - 2x) dx into two separate integrals: (-1x^4) dx and (-2x) dx.

Starting with (-1x^4) dx, we can use the power rule to integrate: (-1x^4) dx = (-1 * 1/5 * x^5) + C1, where C1 is the constant of integration for this integral.

Next, we can integrate (-2x) dx using the constant multiple rule: (-2x) dx = -2 * (x^1/1) + C2 = -2x + C2, where C2 is the constant of integration for this integral.

To get the final answer, we can combine the two integrals: (-1x^4 - 2x) dx = (-1 * 1/5 * x^5) + C1 - 2x + C2 = -1/5 * x^5 - 2x + C, where C is the combined constant of integration (C = C1 + C2).

We can simplify this expression by using capital C to represent the combined constant of integration, giving us:

(-1x^4 - 2x) dx = -1/5 * x^5 - 2x + C

Therefore, the correct indefinite integral of (-1x^4 - 2x) dx is -1/5 * x^5 - 2x + C, where C represents the constant of integration.

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Erica filled up 12-galon gasoline tank. When the tank got full the gasoline pump showed the number 6.78 gallons. How much gasoline was in the tank before Erica started pumping?

Answers

Step-by-step explanation:

12 - 6.78 = 5.22 gallons

so, there were still 5.22 gallons in the tank.

ways to measure error haven't been discussed in class yet, but accuracy is an easy one to understand--it is simply the percent of labels that were correctly predicted (either true or false). write a function to calculate accuracy using the actual and predicted labels. using the function, calculate the accuracy of this k-nearest neighbors model on the data.

Answers

A new data point is classified using the K-NN algorithm based on similarity after all the existing data has been stored.

Define the K-NN algorithm?The k-nearest neighbours algorithm, sometimes referred to as KNN or k-NN, is a supervised learning classifier that employs proximity to produce classifications or predictions about the grouping of a single data point.The K-NN algorithm saves all the information that is available and categorises new input based on similarity.k-nearest neighbours (kNN) classifier is supervised machine learning algorithm that is non-parametric. It is distance-based and categorises things according to the classes of their close neighbours. Although it can be used for regression issues as well, kNN is most frequently utilised for classification tasks.Non-parametric denotes the absence of parameter adjustment throughout the model's training phase. K is a hyperparameter even if it can be viewed as an algorithm parameter in some ways.

Here I attached the answers

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ways to measure error haven't been discussed in class yet, but accuracy is an easy one to understand--it
ways to measure error haven't been discussed in class yet, but accuracy is an easy one to understand--it

Fill in the table for the following rule:
a) y = 2x + 3
-4
-3
-2
-1
0
1
2
3
4
IN (x)
OUT (y)

Fill in the table for the following rule:a) y = 2x + 3-4-3-2-101234IN (x)OUT (y)

Answers

Answer:-8 is the first one.

Step-by-step explanation:-3(2)-2

-6-2

Hopefully this helps you understand the rest (and I was just too lazy to do all of them).

What is the slope of the line with the following points?

Point A (10, 6)

Point B (15, 10)

Answers

Answer: 4/5

m = (y-y)/(x-x)
= 10-6/15-10
= 4/5

Answer:

i believe it is 4/5

Step-by-step explanation:

C is the midpoint of BD . If CD = 2x and BD = 3x + 5, what is CD?

Answers

2x+2x=3x+5
4x=3x+5
x=5
CD = 5

Because C is the midpoint, CD would be half of BD. To find the full length of the segment BD you have to add the length of Cb and CD. Since CD is half you just double it. CB is the same length as CD. Because CB and CD together are the same as BD you make 2x+2x equal BD which is 3x+5. Once you have the equation you solve for x by adding 2x and 2x to get 4x. Then you subtract 3x from both sides to get x=5.

Find an equation for the line that passes through the point P(3,0) and is parallel to the line −x+5y=−6. Use exact values.

Answers

An equation for the line that passes through the point P(3,0) and is parallel to the line −x+5y=−6 is y = (1/5)x - (3/5).

To find an equation for the line that passes through the point P(3,0) and is parallel to the line −x+5y=−6, we need to find the slope of the given line, since parallel lines have the same slope, and then use the point-slope form of the equation of a line.

First, we need to rearrange the given line to the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

−x + 5y = −6 5y = x - 6 y = (1/5)x - (6/5)

Therefore, the slope of the given line is 1/5.

Since the line we want to find is parallel to the given line, it must have the same slope of 1/5.

Now we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is the given point on the line and m is the slope we just found.

Substituting the given values, we get:

y - 0 = (1/5)(x - 3)

Simplifying, we get:

y = (1/5)x - (3/5)

Therefore,

An equation for the line that passes through the point P(3,0) and is parallel to the line −x+5y=−6 is y = (1/5)x - (3/5).

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A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width? ​

Answers

Use the Pythagorean theorem:

70^2 = 42^2 + width^2

4900 = 1764 + width ^2

Subtract 1764 from both sides

3136 = width^2

Take the square root of both sides

Width = 56 inches

PLEASE HELP ASAP
What is the area of the real object that the scale drawing models?
A. 20 sq cm
B. 180 sq cm
C. 120 sq cm
D. 60 sq cm

PLEASE HELP ASAPWhat is the area of the real object that the scale drawing models?A. 20 sq cmB. 180 sq

Answers

Answer:

B. 180 sq cm

Step-by-step explanation:

if the area of the scale drawing is 20 cm then the width must be 5cm and the length is 4cm.

Since the scale factor is 1:3 you multiply the side lenghts by 3. So the width of the real object is 15 cm and the length is 12 cm.

Multiply L x W to get area, 15 x 12 = 180

2-yard piece of ribbon costs $1.26. What is the price per foot?

Answers

1 yard = 3 feet

3ft * 2 yards = 6 feet

$1.26 / 6ft = $0.21 / ft

. Determina el número aproximado
de pasos que da una persona al recorrer
1.5 kilómetros, si la longitud promedio
por paso es de 50 centímetros.​

Answers

Answer:

lo siento, no lo sé

Estoy respondiendo por puntos

Step-by-step explanation:

lo siento por hacerte perder el tiempo

A hardware store carries 42 types of boxed nails and 36 types of boxed screws

Answers

The hardware store carries a total of 78 types of boxed nails and screws, with 42 types of boxed nails and 36 types of boxed screws.

To calculate the total number of types of boxed nails and screws carried by the hardware store, we add the number of types of boxed nails and the number of types of boxed screws.

Number of types of boxed nails = 42

Number of types of boxed screws = 36

To find the total number of types, we add these two quantities:

Total number of types = Number of types of boxed nails + Number of types of boxed screws

Total number of types = 42 + 36

Total number of types = 78

Therefore, the hardware store carries a total of 78 types of boxed nails and screws. This includes 42 types of boxed nails and 36 types of boxed screws.

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a force of pounds is required to hold a spring stretched 0.4 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length? $1.8$incorrect2.025

Answers

The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.

This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.

Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.

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Correct question:

A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.

How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?

Let A=(a)nxn
be a square matrix with integer entries.
a) Show that if an integer k is an eigenvalue of A, then k divides the determinant of A.
b) Let k be an integer such that each row of A has sum k (ite.. Σ aj – k; 1 ≤ i ≤n), then
show that k divides the determinant of A. [SM]

Answers

a) If an integer k is an eigenvalue of a square matrix A with integer entries, then k divides the determinant of A.

b) If each row of a square matrix A has a sum of k, where k is an integer, then k divides the determinant of A.

a) To show that if k is an eigenvalue of A, then k divides the determinant of A, we can use the fact that the determinant of A is equal to the product of its eigenvalues.

Let λ be an eigenvalue of A with eigenvector v. We have Av = λv. Taking the determinant of both sides, we get det(Av) = det(λv). S

ince det(Av) = det(A)det(v) and det(λv) = λⁿ det(v), where n is the dimension of A, we can rewrite the equation as det(A)det(v) = λⁿ det(v). Since λ is an eigenvalue, det(v) ≠ 0, so we can divide both sides by det(v) to get det(A) = λⁿ. Since λ is an integer, it must divide the determinant of A.

b) If each row of A has a sum of k, we can write this condition as Σ aj - k = 0, where aj represents the elements of the ith row of A. This can be rewritten as Σ aj = nk, where n is the dimension of A.

Now, let's consider the matrix A - kI, where I is the identity matrix. Each row of A - kI has a sum of 0, which means that the sum of the elements in each column of A - kI is also 0.

This implies that the vector [1, 1, ..., 1] is an eigenvector of A - kI with eigenvalue 0.

Since the sum of the eigenvalues of A - kI is equal to the trace of A - kI, which is the sum of the diagonal elements, we have k as one of the eigenvalues.

Therefore, from part a), we know that k divides the determinant of A - kI. But since A - kI is similar to A, they have the same determinant. Thus, k divides the determinant of A.

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what os the slope of (-6,9),(7,-9)

Answers

Answer:

18/12

Step-by-step explanation:

18- rise

12- run

Cameron made a scale drawing of a house. The scale of the drawing was 1 inch = 1 foot.
What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.

Answers

sushi’s wow wow i she sos s

Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve by combining like terms

Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve

Answers

In the attached diagram the perimeter of the hall way is

17x - 34

How to find the perimeter of the hallway

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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Bill has $270. 61 in his account before making any transactions. Over the course of a week, Bill makes the following transactions: Transaction Debit ($) Credit ($) Paycheck --- 535. 67 Electric bill 112. 53 --- Groceries 90. 79 --- Savings bond --- 50. 00 Car payment 225. 65 --- At the end of the week, how much money is in Bill’s account? a. $518. 10 b. $156. 70 c. $427. 31 d. $608. 89.

Answers

C 427.31 dollars………………

The scatter plot to the right shows the cost (y), in dollars, of orange trees based on their ages (x), in years. Based on the scatter plot, which equation represents the line of best fit for the cost of the orange trees?
A y=15.7x
B y=11.8x+29.2
C y=15.7+40.0
D y=11.8x​

The scatter plot to the right shows the cost (y), in dollars, of orange trees based on their ages (x),

Answers

Answer:

The answer to your problem is, B. y=11.8x+29.2

Step-by-step explanation:

Determine the line of the best fit grpahically

Find the problem:

y = 11 x 8x + 29 x 2 B.

What is expected value in probability formula?

Answers

The expected value in probability, also known as the mean or the expectation, is a measure of the central tendency of a random variable.

It represents the average value that the random variable would take if the experiment were repeated many times.

The formula for calculating the expected value of a discrete random variable X is E(X) = ∑(xP(x)), where x is the value of the random variable, and P(x) is the probability of X taking the value x.

For a continuous random variable X, the formula is

E(X) = ∫(x*f(x)dx)

where f(x) is the probability density function of X.

The expected value is an important concept in probability theory and is used to make predictions about the outcomes of random events.

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At least 98. 77% of the data in any data set lie within how many standard deviations of the mean

Answers

Three standard deviations of the mean are set for the data which has t least 98. 77% of the data.

When dealing with normal distributions, the standard deviation serves as a valuable tool for measuring spread. The data is symmetrically distributed with no skew in the normal distributions. How spread out from the center of the distribution your data is on average is explained by the standard deviation.

According to statistical analysis, the empirical rule indicates that nearly all data collected from a normal distribution will fall within three standard deviations (represented by σ) of the mean or average (represented by µ). The empirical rule, or the 68-95-99.7 rule, tells you where your values lie:

Around 68% of scores are within 1 standard deviation of the mean,

Around 95% of scores are within 2 standard deviations of the mean,

Around 99.7% of scores are within 3 standard deviations of the mean.

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You are playing a card game where the total points you earn depends on theasuits of the cards you draw. The total number of points is given by the expression3a + 3b-2c-2d, where a represents the number of hearts, b is diamonds, c isclubs, and d is spades. What is the total number of points you earn if you draw 3hearts, 2 diamonds and 1 spade? *

Answers

3a + 3b-2c-2d

a= number of hearts

b= number of diamons

c= number of clubs

d= number of spades

if you draw 3hearts, 2 diamonds, and 1 spade, just replace a=3, b=2, c=0, d=1

3(3) + 3(2)-2(0)-2(1)

Multiply each term and add the results:

9+6-0-2 = 13

13 points

Given ABCD is a parallelogram, prove AB CD and BC & AD.

Given ABCD is a parallelogram, prove AB CD and BC & AD.

Answers

What are we finding out like what is the mane question

2x + 9.75 - 7x= 5.15

Answers

Answer:

the answer would be X=0.82

the answer would be x=0.92




simplify 2x+9.75-7x=5.15
-5+9.75=5.15

subtract 9.75 from both sides
-5x=5.15-9.76

simplify 5.15-9.75 to -4.6
-5 = -4.6

divide both side by -5
x=-4.6/-5

simplify -4.6/-5 to 0.92
x=0.92

The mean age of 6 women in an office is 23 years old.
The mean age of 3 men in an office is 23 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

the mean for both mean and women are 23 so the mean of all the people would be the same.

Answer:23

Adam has 3 1/2 yards of cord. Each
key chain that he makes uses 3/4 yards of cord. How many key chains can he complete?

Answers

Answer:

3 1/4

Step-by-step explanation:

It is 3 whole key chains

A card is drawn from a deck of cards, Then the card is replaced, the deck is reshuffled, second card is drawn. What is the probability of getting.


1. a 3 on the first draw and a red card on the second draw?
2. an ace on the first draw and a heart on the second draw?
3. a queen on the first draw and a king on the second draw
4. a jack on the first draw and multiple of 5 on the second draw

Answers

Answer:

https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182

Step-by-step explanation:

:)

Question 8 in the regression demand equation e(log〖(sales) | price))=11. 015 -2. 442 log(price)〗, at a price of $1, what is the expected value of sales? the log here, is the natural log. 0 / 1 point

Answers

The expected value of sales at a price of $1 is 11.015 for the given regression demand equation.

In the regression demand equation e(log(sales | price)) = 11.015 - 2.442 log(price), you want to find the expected value of sales at a price of $1. To find the expected value of sales, you need to substitute the given price of $1 into the equation and solve for the sales. Substituting the price of $1 into the equation, you get: e(log(sales | 1)) = 11.015 - 2.442 log(1). Since log(1) = 0, the equation simplifies to: e(log(sales | 1)) = 11.015 - 2.442 * 0, e(log(sales | 1)) = 11.015
Therefore, the expected value of sales at a price of $1 is 11.015.

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50 POINTS. The function f(x)=x+4−−−−−√3 is transformed to f(x)=x−1−−−−−√3+3.

What transformations are performed from function f to function g?

Choose each correct answer.
Responses

Function f is translated to the right 3 units.
Function , f , is translated to the right 3 units.

Function f is translated down 1 unit.
Function , f, is translated down 1 unit.

Function f is translated up 3 units.
Function , f , is translated up 3 units.

Function f is translated to the right 5 units.

50 POINTS. The function f(x)=x+43 is transformed to f(x)=x13+3.What transformations are performed from

Answers

Function f(x) is translated to the right 5 units.

What is dilation?

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

The function f(x)=∛x+4 is transformed to f(x)=∛(x−1) +3.

Putting the values in the graph we see that mid points of both the graphs are:

\(\left(-4,\ 0\right)\) original function

\(\left(1,\ 3\right)\) transformed function

x₁ ⇒ x₂ and y₁ ⇒ y₂ is the transformation

here,

-4 ⇒ 1

= +5 (positive symbol means to the right)

and

0 ⇒ 3

= +3 (positive symbol means to upward direction)

Thus, Function F translated to up 3 units and translated right 5 units

Hence, Function f is translated to the right 5 units.

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HELP ME PLZ!!!!!! Which values equivalent to the fraction below? CHECK ALL THAT APPLY.

HELP ME PLZ!!!!!! Which values equivalent to the fraction below? CHECK ALL THAT APPLY.

Answers

The values or the answer is C and F!
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