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
Juliette [100K]
2 years ago
11

A detective agency is looking to bust an arms sale. According to available intelligence, the sale is likely to happen in one of

the three locations A, B, or C. Historical patterns indicate that P(A) (the likelihood that the sale will happen at A) is twice that of P(B), and likewise, P(B) = 2P(C). What is the probability distribution of the arms sale happening in these 3 places? Let us denote the location of the sale with a memoryless source X, i.e., X takes values ‘A’, ’B’, ’C’, with probabilities P(A), P(B), and P(C) respectively. Calculate it’s entropy H(X) in bits. Note that H(X) represents the amount of uncertainty in the location of the sale. The director of the agency is not very happy with the level of uncertainty. So he looks up recent covert transmissions for hints. He finds a recent coded message from agent Atomic Blonde which indicates that the sale will not happen at C. Let us denote the message from agent Blonde as Y , and in this case Y ="not C". Given this information, what is the new uncertainty H(X|Y = "not C")?
Computers and Technology
1 answer:
Paha777 [63]2 years ago
4 0

Answer:

Probability Distribution={(A, 4/7), (B, 2/7), (C, 1/7)}

H(X)=5.4224 bits per symb

H(X|Y="not C")=0.54902 bits per symb

Explanation:

P(B)=2P(C)

P(A)=2P(B)

But

P(A)+P(B)+P(C)=1

4P(C)+2P(C)+P(C)=1

P(C)=1/7

Then

P(A)=4/7

P(B)=2/7

Probability Distribution={(A, 4/7), (B, 2/7), (C, 1/7)}

iii

If X={A,B,C}

and P(Xi)={4/7,2/7,1/7}

where  Id =logarithm to base  2

Entropy, H(X)=-{P(A) Id P(A) +P(B) Id P(B) + P(C) Id P(C)}

=-{(1/7)Id1/7 +(2/7)Id(2/7) +(4/7)Id(4/7)}

=5.4224 bits  per symb

if P(C)  =0

P(A)=2P(B)

P(B)=1/3

P(A)=2/3

H(X|Y="not C")= -(1/3)Id(I/3) -(2/3)Id(2/3)

=0.54902 bits per symb

You might be interested in
Describe the layout of an article on Wikipedia​
GuDViN [60]

An article with a table of contents block and an image near the start, then several sections

Sample article layout (click on image for larger view)

This guide presents the typical layout of Wikipedia articles, including the sections an article usually has, ordering of sections, and formatting styles for various elements of an article. For advice on the use of wiki markup, see Help:Editing; for guidance on writing style, see Manual of Style.

Contents

1 Order of article elements

2 Body sections

2.1 Headings and sections

2.2 Names and orders for section headings

2.3 Section templates and summary style

2.4 Paragraphs

3 Standard appendices and footers

3.1 Headings

3.2 Works or publications

3.3 "See also" section

3.4 Notes and references

3.5 Further reading

3.6 External links

3.6.1 Links to sister projects

3.7 Navigation templates

4 Specialized layout

5 Formatting

5.1 Images

5.2 Horizontal rule

5.3 Collapsible content

6 See also

7 Notes

8 References

A simple article should have, at least, (a) a lead section and (b) references. The following list includes additional standardized sections in an article. A complete article need not have all, or even most, of these elements.

The same article, with the central left highlighted: it contains just text in sections.

Body sections appear after the lead and table of contents (click on image for larger view).

Articles longer than a stub are generally divided into sections, and sections over a certain length are generally divided into paragraphs; these divisions enhance the readability of the article. The names and orders of section headings are often determined by the relevant WikiProject, although articles should still follow good organizational and writing principles regarding sections and paragraphs.

5 0
2 years ago
Why people shouldnt get married​
inn [45]
Well it depends if your thinking! I know many reasons why people should get married but I also know many reasons why people shouldn’t get married!

For an example if you are a man and you don’t want to get married, well I think it’s 50% wrong and another 50% right cause if you want to enjoy life and not be stuck with the same wife you wouldn’t get married, but now think of having a family when you get married you receive a blessing, cause you will have son , daughters and a wife who will support you all the time!
3 0
2 years ago
Hi can someone help me make a like a song for music Class pls I attached an example of what i need.
g100num [7]

Answer:

i dont really like music so sorry i cant help i hope someone can help you with this.

8 0
3 years ago
This how to start a brainly challenge besides the default one.
Butoxors [25]

Answer:

thanks for the knowledge! :D

3 0
3 years ago
Read 2 more answers
While using a Web-based order form, an attacker enters an unusually large value in the Quantity field. The value she entered is
maxonik [38]

Answer: integer overflow

Explanation:

The type of attack has occurred in this scenario is a integer overflow. An integer overflow occurs when there's an attempt by an arithmetic operation to create a numeric value which is outside the range which the given numbers are able to represent.

In this, the integer overflow occurs when the result of the integer operation cannot be able to fit in the allocated memory space which then brings about an unexpected result.

6 0
3 years ago
Other questions:
  • It is better to know the main components of all computer programming languages
    9·1 answer
  • How should students approach the decision to take the SAT or the ACT?
    6·1 answer
  • Some files appear dimmed in one of the default folders on your computer. What would be the best course of action? A. Leave the f
    5·1 answer
  • Jessica has a balance of $2,200 on her credit card with an 18% interest rate. Her credit card company doesn’t require a minimum
    15·1 answer
  • True or False? In a C++ floating-point constant, a decimal point is not required if exponential (E) notation is used
    13·1 answer
  • Can anyone fill in the space please
    6·1 answer
  • Select the correct answer. Which is the bottom-most layer in the OSI model?
    9·1 answer
  • Is anyone a robIox moderator?
    13·2 answers
  • Your program will be used by many departments at the university. Your comments will be important to their IT people. What would
    15·1 answer
  • Full form of NCP?............
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!