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

What are tangible advantages in e-commerce, What are tangible advantages in...

What are tangible advantages in e-commerce? Tangible advantages are as explained below: Through the buyer’s perspective e-commerce gives very many tangible advantages: a.

Service, is product a yype of service

is product a yype of service

Motion problem, Kali left school and traveled toward her friend''s house at...

Kali left school and traveled toward her friend''s house at an average speed of 40 km/h. Matt left one hour later and traveled in the opposite direction with an average speed of 50

Assignment, consumer mind is a black box discuss

consumer mind is a black box discuss

Define one disadvantage of online buyers, Define one disadvantage of online...

Define one disadvantage of online buyers when dealing with unfamiliar sellers. One disadvantage of online buyers: Lack of trust is there observably as buyer cannot phy

Co-branding, what is meant by line extension of a product?

what is meant by line extension of a product?

How is a customer retained for a long period with business, How is a custom...

How is a customer retained for a long period with business? Apart from managing value chain and keeping up delivery network, firms require to develop strong bonds along with th

What is economic and competitive environment, What is Economic and Competit...

What is Economic and Competitive Environment? Economic and Competitive Environment: Environment Factors of Economic and Competitive, including the effects of common econ

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