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

Export and import procedures and documentation., What are the procedures of...

What are the procedures of export under deferred paymente?

Various approaches for selecting target markets, What are the various appro...

What are the various approaches for selecting target markets? Once a firm understand its markets and the suitable bases for segmenting such markets, this should choose an appro

Simplifyng exponetial equations, (3x^2 y)^3 over 9x^2 .....I got 27x^6 y^3 ...

(3x^2 y)^3 over 9x^2 .....I got 27x^6 y^3 over 9x^2 is there anymore simplifying to be done

Test marketing, approaches that are followed by FMCG companies

approaches that are followed by FMCG companies

Describe the term positioning of a firm or service, Courts opened its first...

Courts opened its first retail outlet in Mauritius in 1985, on the outskirts of Port Louis. It subsequently opened outlets in all the towns and big villages. However inspite of its

Show the legal regulations on advertising, Q. Show the Legal Regulations on...

Q. Show the Legal Regulations on Advertising? Today advertisers face numerous legal restrictions. Consumer-movement has unnatural the government to pass laws to normalize adver

Marketing, the value delivery process

the value delivery process

What is integrated marketing, What is integrated marketing? Integrated...

What is integrated marketing? Integrated Marketing: The duty of a marketer is to diverse marketing activities and assembles completely integrated marketing programs to pro

Explain about stero-typing in advertising, Q. Explain about Stero-typing in...

Q. Explain about Stero-typing in Advertising? Stereotyping demotes to presenting a group of people in certain roles only. Advertising has inward criticism for stereotyping wome

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