1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
3 years ago
5

A real estate agent has 12 properties that she shows. She feels that there is a 30% 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 no more than 2 properties in one week. Round your answer to four decimal places.
Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Answer:

0.2528 = 25.28% probability of selling no more than 2 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, which 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.

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

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

You might be interested in
Leam with an example
Nata [24]

Answer:

18 because 6 times 2 is twelve and 9 times 2 is 18... only if its direcrly proportional which it is

Step-by-step explanation:

pls mark brainliest it would really help me out

8 0
2 years ago
Help me plz 8th grade math need answers quick
mixer [17]

Answer:

25. Not a solution

26. Yes a solution

27. y= 2/3 x

28. y=3x+16

Step-by-step explanation:

25. The solution to a linear equation is the point (x,y). To find if an (x,y) is a solution, substitute it into the equation and see if it works.

y=4x-4 and (8,3)

3=4(8)-4

3=32-4

3=28

False

Not a solution.

26. Repeat 25 to solve 26 with y=5x-5 and (0,-5)

y=5x-5 and (0,-5)

-5=5(0)-5

-5=0-5

-5=-5

True

Yes a solution.

27. This line crosses through the origin is proportional and therefore has the form y=mx. It also has a gentle slant meaning that is less than 1/2 and goes in a positive direction. This means it is y=2/3 x.

28. Use inverse operations to rearrange the equation.

y-3x=16

y=16+3x

y=3x+16

8 0
3 years ago
If you invest $823 at an interest rate of 3 percent,how much money will you have in total afer nine years?​
valentinak56 [21]

Answer:

$1,045.21

Step-by-step explanation:

7 0
3 years ago
Use the figure for exercises 1-4<br><br> Name the intersection of plane S and line j
torisob [31]
Right angle i think



90 degree angle is right angle so jus Measure it
6 0
3 years ago
How many solutions does this system have?
BigorU [14]

12x - 4y = -8

y = 3x + 2

Rewrite the first equation

12x + 8 = 4y

3x + 2 = y

As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of the parallelogram?
    5·1 answer
  • Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)?
    5·2 answers
  • Which statements include two quantities in the real world that are additive inverses?
    8·2 answers
  • Saidhari bought a toaster oven for $45. This price was 1/4 off the list price. What was the list price?
    8·1 answer
  • A flower bed is in the shape of a triangle with one side twice the length of the shortest? side, and the third side is 1616 feet
    7·1 answer
  • PLEASEEEE HELLLPPPPP
    8·1 answer
  • Last month, John lost money by selling stocks. His investment income was -\$525−$525minus, dollar sign, 525. This month, John's
    11·1 answer
  • Hii, please help me w this :(( tysm
    6·1 answer
  • What is 3+x if x = 2. Give answer but do not give detailed explanation. Thank you.
    10·2 answers
  • Gemma and Leah are both jewelry makers. They made 39 necklaces. Each necklace has exactly 104 beads on it. How many beads did th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!