A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling less than 3 properties in one week. Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. 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.

A real estate agent has 17 properties that she shows.

This means that [tex]n = 17[/tex]

She feels that there is a 50% chance of selling any one property during a week.

This means that [tex]p = 0.5[/tex]

Compute the probability of selling less than 3 properties in one week.

This is

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

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

[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]

[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]

[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]

0.0011 = 0.11% probability of selling less than 3 properties in one week.


Related Questions

Find the area and perimeter of the polygons formed by the algebra tiles below: area: y X perimeter: 1 area: perimeter: 2​

Answers

Answer:

The answer is below

Step-by-step explanation:

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = x + 1 + y + 1 + x = 2x + y  + 2

The perimeter of the figure = sum of the length of the sides = 2(1 + (x + 1 + y + 1 + x)) = 2(2x + y + 3) = 4x + 2y + 6

b)

a)

The area of the figure = sum of the area of the individual polygons

The area of the figure = y² + xy + 1 + 1 + 1 = y² + xy + 3

The perimeter of the figure = sum of the length of the sides = (y + 1) + x + y + (y + 1) + y + 1 + 1 + 1 + x + 1 = 4y + 2x + 6

need help with this one

Answers

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 °  = b '

A  + 61 + b ' = 180

A = 68 °

(Need help) (ASAP)

Point: 18

Answers

Answer:

10

Step-by-step explanation:

m= -3 b= -1 slope intercept form ​

Answers

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

Select the correct answer.
Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they
will do?
A.Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.
B.Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a
movie.
C.Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.
D.Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.

Answers

Answer:

D.

Step-by-step explanation:

I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once

Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.

What is probability?

Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.

Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.

In the case of option A, the probability of that event occurring is 1/4.In the case of option B, the probability of that event occurring is 1/2.In the case of option C, the probability of that event occurring is 1/8.In the case of option D, the probability of that event occurring is 3/8. We can see that Option B is the only event having a probability of 1/2.

Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ2

The price of an item has been reduced by 35%. The original price was $25.

Answers

Step-by-step explanation:

what thanks for free points btw

Answer:

not sure ans sorry if its wrong but i think its 8.75

A person invests 7000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?

Answers

Answer:

18.6

Step-by-step explanation:

Answer:

18.6

Step-by-step explanation:

trust me brotha plz give me like


The area is ___ square meters. UH HELP I need the steps if anyone can!?

Answers

ANSWER:
27m squared

STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared

How many centimeters are in 3.2 inches? [1 inch = 2.5 cm] Show your work.

Answers

Answer:

8 cm

Step-by-step explanation:

Just multiply 3.2 by 2.5

3.2 x 2.5 = 8

Answer:

Sure, your answer is 8

Step-by-step explanation:

3.2 * 2.5=8

PLS HELP AND HURRY

After how many hours is the price the same in both companies? Explain how you found the answer.

Answers

Step-by-step explanation: 5

Answer:

Step-by-step explanation:

Raging River costs

y=9x

Paddlers costs

y=x+40

So they cost the same when y=y

9x=x+40

8x=40

x=5

So they cost the same for 5 hours.

Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)

Answers

Answer:

6 pencils

Step-by-step explanation:

30/5=6

Equation:

30/5=6 pencils each

Determine The Missing Number In The equation

1+12= +2


PLEASE HURRY!!!!

Answers

I guess it is 13, 1 plus 12 is 13 so

Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36

Answers

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)​

Answers

Answer:

0.0144

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

                                                   

giving brainliest ! *easy*

Answers

Answer:

170

Step-by-step explanation:

17π/18 * 180/π

17*180/18

=170

Fill the blanks using Product formula. ​

Answers

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

plz help me

..................

Answers

Answer:

Step-by-step explanation:

Find a solution to the following system of equations by graphing
y= 7x + 3
y= 3x -0.5

Answers

Answer: (-7/8, -3 1/8)

Step-by-step explanation:

To find the solution to a system of equations by graphing, you graph the two equations and the solution is where the two lines intersect. Attached is the graph.

Answer:

the answer is (-0.875, -3.125)

50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?

1. (5,8)
2. (-1,-3)
3. (-4,-11.5)
4. (1.2, -2.78)

These are all yes and no questions!

Answers

Hi there!

[tex]\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}[/tex]

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

No yes no yes

:)

Brainliest please! <3 i will give you brainliest and 5 free points if you do! I will post the free answers problem, it will be called

“(1 + 1)-2” and it will have your username!

MULTIPLE CHOICE PLS ANSWER THANKS

Answers

Answer:

I think answer is B

B.10x+150=180

Please help will give brainliest answer

Answers

h=w=4w^3
l=5w^2-3w-4
A=w•l
A=4w^3(5w^2-3w-4)
A=20w^5-12w^4-16w^3
Good luck

the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?​

Answers

Answer:

y=x-1

Step-by-step explanation:

Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21

Answers

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Please help and give brainliest answer

Answers


(a^4+5a^2+4)(7a^2)
The answer is:

7a^6+35a^4+28a^2

Will give brainliest answer please help

Answers

Answer:

[tex]a^{2}(24a^{2}+36a+12)[/tex]

Step-by-step explanation:

Area of rectangle= Length*Width

so [tex](6a^{2}+9a+3)*4a^{2}[/tex]   multiply each coefficient of a times 4a^2

[tex]24a^{4}+36a^{3}+12a^{2}[/tex]  then take a^2 common factor so it will be

[tex]a^{2}(24a^{2}+36a+12)[/tex]=area

In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?

Answers

417/3 = 139 x 2 = 278

= 278

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

1O POINTS PLS ANSWER ASAP THANKS

Answers

Answer:

Step-by-step explanation:

The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62

Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________

Answers

From the question,

Rohan bought an almirah for =Rs.13600= cost price

Transportation cost =Rs.400

The total cost price of almirah =Rs.(13600+400)

The total cost price of almirah =Rs.(13600+400)=Rs.14000

He sold it for =Rs.16800= selling price

By comparing SP and CP=SP>CP, so there is a gain

Gain=SP−CP

=16800−14000

=Rs.2800

Gain %={(gain/CP)×100}

={(2800/14000)×100}

={2800/140}

=20%

Which two numbers are exactly 10 units away from 5?​

Answers

Answer:

-5 and 15

Step-by-step explanation:

10±5 = -5, 15

15 and -5 are exactly 10 units away from zero

Given that n is an integer, prove that 6 is a factor ofn3+ 5n

Answers

Answer:

n3+5n=6

taking common as n

n(5+3)=6

n8=6

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In the context of the second paragraph, the author describes dinosaurs as "the most charismatic characters in the fossil record" primarily toA) explain why only one of several mass extinctions has received coverage in the popular media B) argue that the general publics fascination with only one of several mass extinctions is scientifically scientifically justifiedC) Account for the relative lack of research on extinct lifeforms other than dinosaursD) defend the great importance paleontologist attached to the end crustaceous mass extensionE) clarify the context in which researchers first began to understand the causes of mass extinction This is worth 16 points if you show work you will get the Brainliest answer if your unable to show work type it for your explanation plz ( no links ) Fill in the blanks with the correct form or the present perfect. Please help with the correct answers Write the ratios of each for the given triangle belowSinA=CosA=TanA=SinB=CosB=TanB= In a solution, salt is considered thesolutesolvent The first equation is y = -2x + 8and the second isy = x - 4Please show your work!!! What is the area of this figure? Enter your answer in the box. ___in^2 What is the formula for the sulfate ion?What is the formula for the sulfite ion?What is the formula for the hydrogen sulfate ion? If mAPW = 20, then the measure of WPZ is All ecosystems at the same latitude are placed in the same biome.True or falsePls give correct answer Find the value of x in the 45-45-90 triangle. A) 6 B) 6 2 C) 12 2 D) 12 What function of communication is shown in this scenario: Alvin has beenin love with his best friend but is afraid that he might lose their friendship if he will confess. So, he decided to write a poem about his feeling towardshis best friend and post in social media.Instrumental functionCathartic functionhsAesthetic functionPrevention of Communication Which force was the first to be discovered?Group of answer choicesdue 11:59 help pweysss The life cycle of a mosquito depends on the availability of standing or slow-moving water, that they can lay their eggs in. If there is a lower-than-normal number of mosquitoes present in one area, which limiting factor is most likely the cause? A.a severe droughtb.an abnormally warm winterc.a reduction in pesticide usage d.a decline in populations of predators, such as insect-eating birdshelp please If A > B, where on the number line will A appear? simplify to the lowest terms Factor completely 64x2 jessica wondered if elementary school students tend to write more when they are given hi can someone please help I need help on this question someone please help. x/4=-12 (this says x divided by 2 equals -8). Explain how you would solve for x and what you would get. Im in 7th grade so can someone make it easy to read like at the explaining part thanks.