Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The librarians plan to take an SRS of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded. What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

Answers

Answer 1

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3% of books borrowed from a library in a year are downloaded.

This means that [tex]p = 0.03[/tex]

SRS of 75 books.

This means that [tex]n = 75[/tex]

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: [tex]\mu = p = 0.03[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.


Related Questions

Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually

Answers

Answer:

A 20% decrease I believe

Step-by-step explanation:

So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%

I just learnt this in math today so I hope it helps you and I hope it's correct :>

1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x

Answers

Answer:

.8x

Step-by-step explanation:

PLS HELPP ! I’m being timed

Answers

Answer:

C

Step-by-step explanation:

What I think

−3.64⋅|−5.3|−1.5^3

help pls

Answers

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

what is 50 divided by 5 times 2 divided by 4

Answers

I think the answer would be 5

Answer:

5 ma boiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)

Answers

Answer:

b. no solution

Step-by-step explanation:

change to slope-int form

y=-4x-8

y=-4x+5/2

see how the slopes are the same but the y-int are different? they are parallel, so they never touch

2x-1=7
Not sure how to start to solve this equation

Answers

Answer:

x equals 4. 2x4 is 8-1equals 7

Answer: x=4

Step-by-step explanation: 2x−1=7

2x−1+1=7+1

2x/2=8/2

x=4

write an expression for the operation described below subtract v from 2

Answers

Answer:

2 - v

Easy method: plug in v with some other number and see how it rolls out

Answer:

Hi how are you doing today Jasmine

Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?​

Answers

Answer:

$31.5

Step-by-step explanation:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

Need help with this please having a hard time with it

Answers

Answer:

6.28 m^2  

Step-by-step explanation:

4^2 x Pi=area of full circle

45 degree segment =1/8 of a full circle

16x3.14159=50.27 m^2                  area of full circle

50.27/8=6.28 m^2             area of 1/8 circle

Answer:

90 square meters

Step-by-step explanation:

Formula for sector area--- SECTOR AREA=r^2 a/2

*Multiply the central angle by the radius squared- 45×4=180squred meter

*then, Divide by 2- 180÷2=90

1. Which is greater 0.045 or 0.405?

Answers

Answer:

.038++++9675756-:-

Step-by-step explanation:

5582989(888888

The number 0.405 is greater than the number 0.045.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The numbers are,

⇒ 0.045 and 0.405

Now,

In the numbers,

⇒ 0.045 and 0.405

The place value 4 in the number 0.045 = 4/100

And, The place value 4 in the number 0.450 = 4/10

Thus, The number 0.405 is greater than the number 0.045.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ2

The seventh-grade students at Alaniz Middle School went on a field trip. At lunch
17 students drank lemonade. This represented 20% of the students on the field
trip. How many Students were on the field trip?

Answers

Answer:

85 students

Step-by-step explanation:

If 17 = 20%

It means is the fifth part of 100%

Because 20% * 5 = 100%

With that logic if we multiply the amount of students by 5 we will get the total of students.

17*5= 85

Hope it was helpful ;)

a quadrilateral with two sets of parallel sides

Answers

Answer:

square or rectangle

Step-by-step explanation:

PLEASE HELP I WILL GIVE YOU BRAINLIEST

Answers

Answer:

yoo echo stop deleting my answers  bro

Step-by-step explanation:

On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.

Answers

Answer:

a) The percentage that the student does not read any paper is  10%  

b) The percentage that the student reads the local paper is 40%

c) the percentage that the student reads exactly two papers is 23%

d) the percentage that the student reads at least two papers is 25%

Step-by-step explanation:

Given the data in the question;

as illustrated in the Venn diagram below,

a)The student does not read any paper;

The percentage that the student does not read any paper will be;

100% - 90% = 10%

Therefore, The percentage that the student does not read any paper is  10%  

 

b) The percentage that the student reads the local paper;

from the Venn diagram below;

⇒ ( 20 + 15 + 3 + 2 )%    

= 40%

Therefore, The percentage that the student reads the local paper is 40%

c) The percentage that the student reads exactly two papers

⇒ ( 15 + 5 + 3 )%

= 23%

Therefore, the percentage that the student reads exactly two papers is 23%

d) The percentage that the student reads at least two papers;

⇒( 15 + 5 + 3 + 2 )%      

= 25%

Therefore, the percentage that the student reads at least two papers is 25%

what is the quotient of x^3+11x^2+26x+16÷x+1​

Answers

Answer:

x²+x+1

Step-by-step explanation:

I think you mean (x^3 + 11x^2 + 26x + 16)÷(x+1). The parentheses make a difference.

The easiest method is synthetic division.

14). Deconstruct to find the area of the figure below 10 ft. 14 ft.​

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i

Answers

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

please help. I can't find answer.

Answers

Answer:

-1,5

Step-by-step explanation:

Given the Isosceles Trapezoid, find the measure of the missing? angle.

Answers

Answer:

s=65

Step-by-step explanation:

T to S is 180

180-115=65

Solve the formula 5x − 3y = 30 for y.

Answers

Answer:

y= -10+5x/3

Step-by-step explanation:

thats it

HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help

Answers

You are right. 5 is correct.

PLS HELP ME!! FIND THE PARALLEL LINES!!

Answers

Answer:

F to D and A to E

Step-by-step explanation:

if they were to continue forever they wouldn't touch but the other lines would (sorry if this isn't correct)

What is the y intercept of the line?

-3


-1


4


2

Answers

Answer:

2

Step-by-step explanation:

2 because the line goes through the y intercept at 2

Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses. (b) Determine the probability of H T H T in 4 tosses. (c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Answers

Answer:

a) 0.0256 = 2.56% probability of 4 heads.

0.1296 = 12.96% probability of 4 tails.

b) The probability is 0.0576 = 5.76%.

c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses

Step-by-step explanation:

For each throw, we have these following probabilities:

0.4 = 40% probability of heads.

0.6 = 60% probability of tails.

(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.

4 heads:

4 throws, each with 0.4 probability of heads. So

[tex](0.4)^4 = 0.0256[/tex]

0.0256 = 2.56% probability of 4 heads.

4 tails:

4 throws, each with 0.6 probability of tails. So

[tex](0.6)^4 = 0.1296[/tex]

0.1296 = 12.96% probability of 4 tails.

(b) Determine the probability of H T H T in 4 tosses.

H = 0.4, T = 0.6. So

[tex]p = 0.4*0.6*0.4*0.6 = 0.0576[/tex]

The probability is 0.0576 = 5.76%.

(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Number of outcomes:

The possible outcomes are:

H - H - T - T

H - T - H - T

H - T - T - H

T - H - H - T

T - H - T - H

T - T - H - H

6 outcomes given 2 heads in 4 tosses.

Each with probability 0.0576, as found in b)

6*0.0576 = 0.3456

0.3456 = 34.56% probability of 2 heads in 4 tosses

Can someone please solve number 6 for me it’s urgent

Answers

Answer:

Value of blank = 1 / (-5x)

Step-by-step explanation:

Given:

__ × (-5x) = 1

Find:

Value of blank

Computation:

Assume;

Blank = y

So,

y × (-5x) = 1

y = 1 / (-5x)

Value of blank = 1 / (-5x)

What was Dakota’s height?

Answers

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Dakota height is 5’4 i believe. If not my bad

Write an equation of the line that passes through the given points. (−3, 5), (0, −1)

Answers

Answer:

Step-by-step explanation:

(-1 - 5)/(0 + 3)= -6/3 = -2

y - 5 = -2(x + 3)

y - 5 = -2x - 6

y = -2x - 1

Lisa makes $78.37 per day. If she works 8 12
hours, how much does she make in 1 hour?

Answers

i’m assuming the time is eight hours and 12 minutes. let me know if that’s not what it’s supposed to be

78.37 / 8.12 = 9.65

lisa makes $9.65 in 1 hour
hope this helps

1/4x=3/2 last one pleasee i need helpp

Answers

Answer:

x = 6

Step-by-step explanation:

Instructions?  I'm assuming you were asked to "solve for x."

To eliminate fractions, multiply both sides by 4.  This results in x = 6.

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