Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website. Round your response to at least three decimal places.

Answers

Answer 1

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that [tex]p = 0.95[/tex]

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135[/tex]

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.


Related Questions

Gina is wrapping gifts for her daughter's birthday how many square inches of wrapping paper does Gina use to wrap a box 3 inches 8 inches tall 14 inches​

Answers

Answer:

336 inches

Step-by-step explanation:

Micheal is making lemonade, He is serving 10 people. for 1 cup it takes two lemon and 3 cups of sugar.How many would it take to make 10 cups of lemonade

Answers

Answer:

look down

Step-by-step explanation:

multiply the number of lemons and sugar needed for 1 cup of lemonade by 10

so he would need 20 lemons and 30 cups of sugar.

Points D and E are midpoints of the sides of triangle
ABC. The perimeter of the triangle is 48 units.
What is the value of t?
2
3
6
8

*ANSWER IS 2 just took the test*

Answers

Answer:

A. 2

Step-by-step explanation:

From the diagram, it is indicated;

AD = DB = 3t,

AC = 7t + 6

CE = EB = 4t

Perimeter = 48 units

Perimeter = AD + DB + AC + CE + EB

Plug in the values

48 = 3t + 3t + 7t + 6 + 4t + 4t

Add like terms

48 = 21x + 6

48 - 6 = 21x + 6 - 6

42 = 21x

42/21 = 21x/21

2 = x

x = 2

2.
It took you 30 minutes (min) to walk
from home to school with the
distance of 500 meters. What is the
average speed?​

Answers

If it’s per hour it would be 1000 m per hour

Answer:

0.27778m/s woulb be my average speed

How to add fraction 3/7+ 3/9=

Answers

[tex] \large \sf \pink{Answer: }[/tex]

[tex] \large \purple{ \boxed{ \frac{16}{21}}}[/tex]

[tex] \large \sf \pink{Explanation:}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{3}{9}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1 \times 3}{3 \times 3}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1}{3}} [/tex]

[tex] \sf \large\frac{3 \times 3}{21} + \frac{1 \times 7}{21}[/tex]

[tex] \sf \large{ \frac{9}{21} + \frac{7}{21}}[/tex]

[tex] \sf \large{ \frac{(9 + 7)}{21}}[/tex]

[tex] \sf \large \purple{ = \frac{16}{21}}[/tex]

A television news program asks its viewers to call in to give their opinions on an upcoming ballot question. What type of sampling method does this represent?

Answers

Answer:

This is an example of self selecting sampling

Step-by-step explanation:

This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.

Write the equation of the line in either point-slope form or slope-intercept form.

Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).

Use the drop-down menus to select the appropriate values in the equation.

y = _ x + _

Answers

Answer:

here you go hope this helps

Step-by-step explanation:

y= -3x + -4

Answer:

answer  in picture

Step-by-step explanation:

Which of these is an example of a random sample?
A.
Customers buying a new cell phone are surveyed about cell phone plans.

B.
A phone plan company surveys people on the beach to see how well they are receiving service, and uses this information in future advertising.

C.
Every twentieth caller to an independent radio station receives tickets to a concert.

D.
A phone survey is conducted using twenty names randomly taken from the phone book.

Answers

B I believe is a good sample

Write an exponential function to model the following situation: A population starting at 740 animals
decreases at an annual rate of 12%. Use your function to determine about how many animals there will
be after 5 years.
A. 390
B. 150
CC. 680
D. 340

Answers

Answer:

A. 390

Step-by-step explanation:

An exponential function can be written in the form [tex]f(n)=a\times b^n[/tex], where [tex]a[/tex] is your starting population, [tex]b[/tex] is the factor by which the population increases, and [tex]n[/tex] is the number of terms. In this case, [tex]a=740[/tex], [tex]b=0.88[/tex] because the population decreases by 12 percent (1-0.12=0.88), and [tex]n=5[/tex].

Thus, [tex]f(5)=740 \times 0.88^5[/tex], which is roughly equal to 390.

an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle

Answers

Answer:

12 and 78

Step-by-step explanation:

The sum of complementary angles is 90 degrees

X+(x-66) = 90

2x = 156    x =  78

78-66 = 12

Helpppppppppppppppp​

Answers

Answer:

tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd

Solve each equation.
11. A number x divided by nine is two.

Answers

Answer:

18 is the correct answer to this

Step-by-step explanation:

18/9=2

Eli built a 3-D model of a building, as shown below. Eli wrote the following calculation to find the volume.





Which is a correct description of the error Eli made while calculating the amount of sand needed to fill the model?
A. He did not include the volume of the horizontal prism.
B. He did not include the volume of the vertical prism.
C. He included the volume of where the prisms overlap twice.
D. He included the volume of the entire horizontal prism twice.

Answers

Answer:

The answer is C!

Step-by-step explanation:

C).

Answer:

Have a greattt day;)

Step-by-step explanation:

multplying binomals anyone know this?

Answers

Answer:

Yes I know this material.

(x+2)(x+1) x^2+x+2x+2 So the answer is x^2+3x+2 Hope this helps
you use the distribution method
i cant do all but hopefully this will help
(x+2)(x+1)
=x^2+1x+2x+2
=x^2+3x+2

(x+3)(x+4)
=x^2+4x+3x+12
=x^2+7x+12

Help Please! SOS! ASAP!

Answers

Answer:

45

Step-by-step explanation:

If you write it out it will look like this, 2x+45+x=180

3x+45=180

3x+45=180

    -45   -45

3x=135

/3   /3

x=45

Answer:

x=45

Step-by-step explanation:

Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.

1. Add like terms. 3x+45=180

2. Subtract 45 from both sides. 3x=135

3. Divide by 3 on both sides to get x by itself. x=45

4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!

Math 143 flooring lab​

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Estimate the area of the rectangle.
A)8
B)10
C)14
D)20

Answers

Answer:

A or B, I think it's A...

The black line is a graph of y=x. Which of these equations could represent the blue line

Answers

Answer:

third option

Step-by-step explanation:

y = 1/2 x

What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

24

Step-by-step explanation:

Area of the 1st upright rectangle: 3x4=12

Area of 2nd rectangle: rectangle: 6x1=6

area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6

1st leg=4

2nd leg=6-3=3

12+6+6

24=area

Hope this helps :)

How many 1/5s are in 4?

Answers

Answer:

20

Step-by-step explanation:

4÷1/5=20

5+5+5+5=20

-2(3+m)=
Solve the question

Answers

The answer is -6-2m

Have a wonderful day

HELP ASAP. What is the area of this trapezoid and the formula. Please explain your reason.

Answers

Answer:

base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630

How can I find what the question is looking for?

Answers

Answer:

m<N = 130°

m<K = 50°

x = 28

Step-by-step explanation:

angle N and angle K are supplementary so the sum of their measures is 180°

4x + 18 + 2x - 6 = 180 add like terms

6x + 12 = 180 subtract 12 from both sides

6x = 168 divide both sides by 6

x = 28 to calculate the measurements of angle N and K replace x with 28

N = 4x + 28 so 4 × 28 + 18 = 130°

N = 2x - 6 and 2×28 - 6 = 50°

How many terms are in this expression ? 9k + 4m

Answers

Answer:

2 terms

Step-by-step explanation:

The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra. How many boys are in the orchestra? HEP FAST PLS IM GIVING BRAINLIEST!!

Answers

Answer:

60

Step-by-step explanation:

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

65+3x+2x=180
5x=115
x=23

besties if your looking for 50+ points and brainliest plz answer this correctly thanks

Answers

A: -0.7
B: 0.9
C: (given)
D: -0.1
E: -0.9
F: 0.7

hope this helps!! :)

A map scale is 1 cm =500 km the scale ratio is 1 to ____

Answers

1 cm — 500 km

1 cm — 500 000 m

1 cm — 50 000 000 cm

the scale — 1 to 50 000 000

yalll this is my cry for help I hate math please help mee ​

Answers

Answer:

195 yards

Step-by-step explanation:

I found three shapes in this irregular shape. the top rectangle is 8x13 which is 104 the middle rectangle is 7x9 which is 63 an the triangle at the bottom is 8x7 which is 56 but then you divide by 2 so it's 28 then you add that all and get 195.

Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 9 child tickets for a total of $108. The school took in $111 on the second day by selling 9 adult tickets and 5 child tickets. What is the price of each type of ticket?

Answers

Answer:

42 dollars

Step-by-step explanation:

Other Questions
le2. Amber is making a scratching post for her cat.scratching post is composed of two rectangularprisms with the dimensions shown. Amber plansto cover all exposed faces, except for the bottomface, with carpet. How many square inches ofcarpet does she need? Why were Southern farmers reluctant to free their slaves? A) Cotton farming was not as lucrative without slaves. B) The slaves could not survive without their masters. C) The slaves knew how to use a cotton gin. D) The slaves could take over the plantations. List at least two ways a consumer can lower his or her mortgage interest rate. 1/3 and 2/6 how is each pair equivalent? 14 out of the 25 students passed the quiz. What percent of students passed the quiz ? USFind the measure of 48.4897/839748 = [?]Enter ANSWER ASAP GIVING BRAINLIEST AND OTHER THINGS! 10. There are sees in Mt. Pisher's PE class. There are so se gradies and 25 graders in the caseWhat is the rate of se graders to the graders in Mechers classPlzzz help Im taking g a test 3. Why did Native Americans work to expand their rights? Which statement about k(x)=-x2-2x+15 is true? A The zeros are -3 and 5, because k(x)= -(x + 3)(x - 5). B The zeros are -5 and 3, because k(x)= -(x + 5)(x - 3). C The zeros are -5 and -3, because k(x)= -(x + 5)(x + 3). D The zeros are 3 and 5, because k(x)= -(x - 3)(x - 5). hello im asking can 32 go into 2? and if so how many times? thanks ill give brainiest and 5 points Jack and his family prepared an emergency kit in case of a natural disaster. Look at the list and select one additional item that would better prepare the family. Canned food WaterFlashlight Matches Battery powered radio(A) Bags of chips (B) Extra cans of soda(C) Television(D) Extra batteries please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I dont understand this question I will provide a photo above thank you In a circle, a 315 sector has area 504piin2. What is the radius of the circle? Hiiioo!!! Can someone please help with this The number of senators each state gets is _____, while the number of representatives is _____.a.) equal, proportional to the populationb.) proportional to the population, equalc.) small, larged.) large, small what type of galaxy tends to be the oldest? Explain. Mason is working two summer jobs, making $12 per hour landscaping and making $15 per hour clearing tables. In a given week, he can work a maximum of 16 total hours and must earn no less than $210. Also, he must work no less than 12 hours clearing tables. If x represents the number of hours landscaping and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.Inequality 1: Inequality 2: Inequality 3:Mason could work ( ) hours landscaping and ( ) hours clearing tables. How did horses change as they evolved over the past 50 million years?A. Horses used to have four distinct digits.B. Horses used to be bigger.C. Horses used to have no distinct digits.D. Horses used to have very long teeth. 1. How did the US find enough workers after so many people went into the military?2. What were the U.S. government's domestic policies during World War ||?3. How did the U.S. government infringe/violate American citizens' constitutional rights during the war?4. Where in the world did most of the fighting occur in WWII?5. Who fought in the Battle of Stalingrad? Why was it important?6. What was D-Day? Why was it important?Please give 3 sentences each. One is fine for each of you cant do 3.