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
Dimas [21]
3 years ago
12

3.48 An apartment seeker in Manhattan estimates that 10% of the available apartments in her price range are in acceptable condit

ion. Furthermore, she has time to look at only one apartment every weekend. a. How many weeks should this person expect to spend for apartment hunting? b. What is the probability that she will find an acceptable apartment in the first two weekends that she looks? c. What is the probability that it will take more than 4 months (17 weeks) to find an acceptable apartment?
Mathematics
1 answer:
REY [17]3 years ago
6 0

Answer:

a) 10 weeks

b) P(k≤2)=0.190

c) P(k>17)=0.167

Step-by-step explanation:

This problem can be solved applying the geometric distribution.

The probability of needing k weeks to find an acceptable apartment can be written as:

P(k)=(1-p)^{k-1}p=0.9^{k-1}\cdot 0.1

a) The expected value of this distribution is:

E(x)=1/p=1/0.1=10

Answer: 10 weeks

b) The probability of finding an acceptable department in the first 2 weeks is:

P(k\leq2)=P(1)+P(2)=0.1*0.9^0+0.1*0.9^1\\\\P(k\leq 2)=0.1+0.09=0.19

c) We have to calculate P(k>17)

P(k>17)=1-\sum_1^{17}P(k_i)\\\\P(k>17)=1-(P(1)+P(2)+P(3)+...+P(17))\\\\P(k>17)=1-(0.1+0.09+0.081+0.073+0.066+0.059+0.053+0.048+0.043+0.039+0.035+0.031+0.028+0.025+0.023+0.021+0.019)\\\\P(k>17)=1-0.833=0.167

You might be interested in
Write an expression that equals 24 include an exponent
pogonyaev

Answer:

(4^2)+8

4 times 4 is 16,

16 plus 8 is 24.

3 0
3 years ago
A recipe says to use 2
gulaghasi [49]
You can make 96 cookies
8 0
2 years ago
Read 2 more answers
Heather finished the 12-kilometer race in 2 hours. If Heather kept her pace constant, what was her rate? A. 24 km/hr. B. 14 km/h
andriy [413]

Answer: D, 6km/hr.

Step-by-step explanation:

Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.

How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.

12 ÷ 2 = 6.

Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.

7 0
3 years ago
Whats the area of a circle with a diameter of 12 cm?
Vedmedyk [2.9K]

Answer:

113.1cm

Step-by-step explanation:

area= \pir²

r= half the diameter r=6

a=\pi6²

a=\pi36

a=113.1 cm

8 0
3 years ago
In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively).
ivanzaharov [21]

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

DB +AD = AB

DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

DE = 6 dm

_____

It can be helpful to draw and label a figure.

5 0
3 years ago
Other questions:
  • C. You filled your car tank with gas at the beginning of the trip. At the start of
    10·1 answer
  • What is 1,982 deceased by 898 ?
    14·2 answers
  • Which best describes the function represented by the table?
    10·1 answer
  • Which of the following represents the graph of the equation y = 1/2x?
    11·1 answer
  • 3. The population of a country increases by 2% every year. The current
    14·1 answer
  • According to Damian's trail mix recipe, 2 cups of dried fruit should be used for 3 1/2 cups of salted nuts.At this rate, how man
    12·2 answers
  • The circumstance of a circle is 16 ft<br><br> The radius is_____ ft
    7·1 answer
  • What is the property of -4+4=0
    9·2 answers
  • Help on this, please
    12·2 answers
  • -4 + 3y = -43<br> what does y equal?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!