Astronomy: star mapping, math, Marketing Management

Assignment Help:
Two nights ago, an astronomer took a picture of a small portion of the sky containing 10,000
stars. Last night, the astronomer took a picture of the same portion of sky (containing the same
10,000 stars). The stars have all moved, and by measuring the distance they have moved the
astronomer can estimate their speed.
Unfortunately, it’s not quite that easy. Because the astronomer does not know the speed (or
direction of motion) of the stars beforehand, all she sees are two pictures with 10,000 dots on
them. There is no way for her to be sure which dot in the second picture is the same star as a
certain dot in the first picture!
Although the astronomer can’t be sure which dot is which, she can make some educated
guesses. Based on the size and brightness of each dot, she can estimate the probability pij that
star i in the first picture is the same as star j in the second picture. (Assume that all
probabilities are independent.) Using these probabilities, she would like to make her best guess
as to which star is which.
a. Draw this scenario as a network problem.
b. Specify the costs on each arc. (Hint: Remember from your probability classes that the
joint probability is the product of each probability, not the sum. One way to minimize the
product of some numbers is to minimize the sum of their logs.)
c. If it is a special type of network problem, specify what type it is.

Related Discussions:- Astronomy: star mapping, math

State about the measurement and evaluation, State about the Measurement and...

State about the Measurement and evaluation Consumer market uses a variety of techniques to evaluate the effectiveness of communications. In organisation market, sales volume

Test marketing, various approaches followed by FMCG companies in test marke...

various approaches followed by FMCG companies in test marketing

How you will determine the target market, Q. How you will determine the tar...

Q. How you will determine the target market? Creating novel, unique and selling ideas is known as creativity in advertisement. Advertising inventiveness is an art it is the abi

#title, Companies are forced to follow sales orientation because the result...

Companies are forced to follow sales orientation because the results are measured in short term and incentives are based on short term achievements. This leads to a high level of r

distinguish in marketing concept and selling concept, 1. Write a note on i...

1. Write a note on importance of consumer behavior for a business firm? 2. Define the term 'Price'. 3. Distinguish between Marketing Concept and Selling Concept? 4. What are the ne

Significant factors for success of shopper stop, What are the significant f...

What are the significant factors that have led to the success of Shoppers Stop?

Ethical marketing and corporate social responsibility, Question 1: (a) ...

Question 1: (a) The Chartered Institute of Marketing describe marketing as "the management process responsible for identifying, anticipating and satisfying customers' requireme

Explain the various stages of the product cycle, Question 1: Explain th...

Question 1: Explain the various stages of the product cycle and explain why it is necessary to follow the procedures regarding this cycle. Question 2: (i) Explain the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd