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

Discuss the buyer decision process, Question 1: Consumer buying behavio...

Question 1: Consumer buying behaviour is based on the degree of buyer involvement and differences among brands. Assume that you are in the process of buying the latest cruise

What is product line pricing, What is Product Line Pricing? Product L...

What is Product Line Pricing? Product Line Pricing: Strategic Marketing has led firms to take on segmentation and diversification strategies that have results within the

Determine the uses of marketing communications in business, Determine the u...

Determine the uses of marketing communications in business Organisations are all well-known brand-names however there are hundreds of thousands of smaller organisations which

How are fewer buyers affected in business-consumer market, How are fewer bu...

How are fewer buyers in business market and the consumer market affected? Fewer Buyers: Within business market, buyers are fewer in number while compared to consumer market.

Headline - component of print advertising copy, Q. Headline - Component of ...

Q. Headline - Component of print Advertising Copy? It refers to words which are in most important positions of advertisement. These words are read initial by the audience. Thes

Case study, critically analyze mr.vincent''s reasoning

critically analyze mr.vincent''s reasoning

Matrices, [1 - x] -4 [2 -2] [3z 10] [2y -3] [0 3] = [4 -u]

[1 - x] -4 [2 -2] [3z 10] [2y -3] [0 3] = [4 -u]

Enumerate about the marketing communications, Enumerate about the marketing...

Enumerate about the marketing communications Origin of many definitions rests with a promotional outlook, where purpose was to use communications to persuade people to buy serv

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