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
Lapatulllka [165]
3 years ago
5

Your office parking lot has a probability of being occupied of 1/3. You happen to find it unoccupied for nine consecutive days.

What are the chances that you find it empty on the 10th day as well?
Mathematics
1 answer:
olasank [31]3 years ago
6 0

Answer:

0.4

Step-by-step explanation:

Let X be the random variable that represents the number of consecutive days in which the parking lot is occupied before it is unoccupied. Then the variable X is a geometric random variable with probability of success p = 2/3, with probability function f (x) = [(2/3)^x] (1/3)

Then the probability of finding him unoccupied after the nine days he has been found unoccupied is:

P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9). For a geometric aeatory variable:

P (X> = 10) = 1 - P (X <10) = 0.00002

P (X> = 9) = 1 - P (X <9) = 0.00005

Thus, P (X> = 10 | X> = 9) = P (X> = 10) / P (X> = 9) = 0.00002 / 0.00005 = 0.4.

You might be interested in
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
Line AB contains points A(4, 5) and B(9, 7). What is the slope AB
MatroZZZ [7]
For the answer to the question, what is the slope AB if l<span>ine AB contains points A(4, 5) and B(9, 7)?
The</span> answer <span>to </span>this question is 2/5.
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
4 0
3 years ago
Read 2 more answers
Need help will give brianly
Katen [24]

3. No it is not on the graph.

because: y=2x+5 insert (5,6)

              6=2x5 +5 is wrong

4. C

8 0
3 years ago
What is the exact volume of the cylinder?
Cloud [144]

The Answer is A. 5070π in3

3 0
3 years ago
Read 2 more answers
What decimal is equivalent to 22 out of 25
melomori [17]
0.88 because 25 *4 = 100 and 22*4= x

x
=88

Ans: 0.88
4 0
3 years ago
Other questions:
  • Solve for y<br> y/p-q = y/p+q
    13·1 answer
  • if any one can help me that would be awesome 1. − 8 = 5 b − 3 b 2. k − 8 + 6 k = 20 3. 723. 4. 6 ( 3 + 3 x ) = 72 364. 5 ( m + 4
    8·1 answer
  • Tissues of living organisms consist primarily of organic compounds; that is, they contain carbon molecules known as proteins, ca
    8·1 answer
  • Ramona owns a orange grove, and needs to harvest at least 2616 oranges to cover the costs of running the grove. If each tree bea
    14·1 answer
  • 56.27 in expanded form​
    10·1 answer
  • Given the figure below, find the values of x and z. 80° 0 (15x + 40)​
    15·1 answer
  • use the distance formula to find the distance between the two points. (0, -2) and (9, 10) give the exact length (leave in radica
    7·1 answer
  • Multiply the polynomials show steps
    11·1 answer
  • \(º □ º l|l)/ i dont understand
    6·2 answers
  • Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!