Suppose that there were 226977 visitors to your website over a period of a week, and of those 56330 clicked on the button to get more information about your product. If you wanted to model the probability distribution of the number of visitors who clicked the button, you would typically estimate the mean of the distribution to be equal to the observed number of visitors who clicked, that is the sample mean: 56330.

Required:
Under this setup, what is the variance of this distribution?

Answers

Answer 1

Answer:

The variance of this distribution is 42353.2

Step-by-step explanation:

For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

In this question:

226977 visitors, so [tex]n = 226977[/tex]

56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]

Then

[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]

The variance of this distribution is 42353.2


Related Questions

1) How many terms does the expression r- 9 + 5.5 have? Explain.​

Answers

Answer:

The first term is 9 and the second term is 5.5, and the third term is r.

Step-by-step explanation:

Hope this helps! ^^

hat is the product of 4.01 × 10-5 and 2.56 ×108?

Answers

Answer:

35.1 and 276.48

Step-by-step explanation:

Answer:

The correct answer is: 1.0266 ×104

Step-by-step explanation:

What’s 57.036 in word form

Answers

Fifty seven point thirty six
fifty seven and thirty six hundredth

You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.

Answers

Answer:

y ⇒⇒⇒ monthly income

x ⇒⇒⇒ number of times app is opened

$20 per month and an additional $0.005 each time the app is opened

∴ y = 0.005 x + 20

The attached figure represents the graph of y

Step-by-step explanation:

Please help this is the last question I need I don't get it

Answers

awnser is A ;))))))))))))))

400 hope this helps!

May I have brainliest please? :D

The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.

Answers

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

In one particular suburb, there are 5 families that own a boxer. If there are a total of
25 families that own a dog in general, then what percentage of dog owners have a boxer?
Round your answer to the nearest whole number if necessary.

Answers

Answer:

60%

Step-by-step explanation:

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by  

100

%

.

So there are  

30

people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of  

50

total families. So

30

50

can be reduced to  

3

5

and that gives us  

.6

When that value is multiplied by  

100

%

, it gives us our percentage of

.6

100

%

=

60

A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.

Answers

Answer:

y=15x+35

Step-by-step explanation:

15 every month and 35 for instant charge

20−5(4/2)^2=? /= fraction

Answers

Answer:

0

Step-by-step explanation:

=20−5(2^2)

=20−(5)(4)

=20−20

=0

calculate the pay for the following day of a weekly time card given a wage of $16/hr

Answers

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0​

Answers

The Vertex is (-2,1)

And the focus is  (-2,3)

Which is the graph of y=3/4 x -3?

Answers

It would be graph A.

Answer:

graph A.

Step-by-step explanation:

Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

Answers

Y= 6x-18
(Substitute y= 0)
0=6x-18
(Move the variable to the left)
-6x=-18
(Divide both sides)
The answer is X= 3

Answer:

So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.

Step-by-step explanation:

What is the answer 2/3 + 5/12 =

Answers

Answer:

then answer is 13/12

Step-by-step explanation:

(8+5)/12

13/12

What is -1/2+-1/5+-5x+3/10+3/2=

Answers

Answer:

-5x + 11/10

Step-by-step explanation:

someone help please !

Answers

9514 1404 393

Answer:

  no, the triangles are not similar

Step-by-step explanation:

The given ratios tell you corresponding side ratios are ...

  ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6

  AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7

Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.

Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

Answers

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

Raul has 6 shoeboxes on his bookshelf. If he has 9 toy robots in each shoebox, how
many toy robots does Raul have?
A. 63
B. 54
C. 36
D. 15
< Back
Clear Answer
Next >

Answers

Raul has 54 toy robots

10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain

Answers

Answer:

60mm   or   6cm

Step-by-step explanation:

108mm - 48mm = 60mm

The answer is 60mm or 6cm

Explanation: i gotchu and leave a like if it helped you

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant

Answers

Answer:

Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below

answer :

y-intercept = 25.9047

 slope = 2.8420

Step-by-step explanation:

Determine the slope for the regression equation and y intercept

The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )

y = 25.9047 + 2.8420x

from the equation gotten above

y-intercept = 25.9047

slope = 2.8420

Please help with this I really need it

Answers

Answer:

Step-by-step explanation:

Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?

Answers

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

PLEASE HELP THIS IS DUE TODAY How do you use proportions to calculate missing dimensions in scale drawings?

Answers

Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet

Step-by-step explanation:

Find the point slope equation of the line through (0,7) with slope of 6.

Answers

Answer:

y-7= 6(x-0)

Step-by-step explanation:

y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!

Solve Question 2 for x, the number of bracelets Tasha bought:

Question 2: (Tasha bought some bracelets that cost $5 each and 2 hats that cost $12 each. The cost of her total purchase was $39. Which equation can be used to find x, the number of bracelets she bought?)

Answer: x = bracelets

Answers

Answer:

x=3 bracelets

Step-by-step explanation:

5(X)+2(12)=39

5X=39-24

5X=15

X=3

PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION

Answers

I dont have my calculator with me but first find the square root of 6 and it will give u a decimal number and then just plot it

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.

Answers

Answer:

so what is the question?

Can the Pythagorean Theorem be used to find a distance in the coordinate plane?

Answers

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

hope it help

Answer:

Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance

I have to determine whether the sides of the triangle form a pythagorean triple.​

Answers

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

Hardy was given the scale drawing of the enlargement to find the scale factor and missing lengths. His work is shown below. Side A corresponds with 1.5, side B corresponds with 4, and a side with length 30 corresponds with a side with length 6. 1. Scale factor = StartFraction Scale drawing dimension over original dimension EndFraction = StartFraction 30 over 6 EndFraction = 5. Side A = 1.5 + 5 + 6.5. Side B = 4 + 5 = 9. Analyze Hardy’s work to determine if he is correct. If he is incorrect, what is his error? Yes. Hardy is correct. No. Hardy should have used the ratio of the original to the scale drawing to find the scale factor. No. Hardy should have multiplied by the scale factor to find the missing length. No. Hardy should have divided by the scale factor to find the missing length.

Answers

C. No. Hardy should have multiplied by the scale factor to find the missing length.

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