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

Marketing management process, What are demands, wants and desires and how d...

What are demands, wants and desires and how do you link these to the marketing process?

Salesman, The Impact of the salesman on the turn over of a non alcoholic be...

The Impact of the salesman on the turn over of a non alcoholic beverage producer.

Various stages in the pricing of menus, Question 1: What is the Food Pr...

Question 1: What is the Food Production Cycle? Explain in detail the process of production, sales and service with regard to supervision, quality and control procedures. Qu

Evaluating the degree of urinary obstruction, Evaluating the degree of urin...

Evaluating the degree of urinary obstruction: D.P. is a 63-year-old man who has been experiencing progressive difficulty with initiating the urinary stream and frequently need

What is the importance of teamwork, Question: Whether in the workplace ...

Question: Whether in the workplace or on the football field, or amongst members of a community and especially in the service industry, effective teamwork produce incredible res

Marketing Mix, Marketing mix of Dettol Handwash

Marketing mix of Dettol Handwash

Differentiate integrated manufacturing and reengineering, What is the diffe...

What is the difference between Integrated Manufacturing and Reengineering? Integrated manufacturing: This provides a new approach for manufacturing. All the system compos

Function of the channels of distribution, Function of the channels of distr...

Function of the channels of distribution or the role of middle man or intermediaries: 1.       Information: Middle men have a role in providing information about the market t

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