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

Demand based pricing, Demand Based Pricing : Described methods belong to th...

Demand Based Pricing : Described methods belong to the category of demand / market based pricing:- 1. What the Traffic can Bear' Pricing 2. Skimming Pricing 3. Penetration

Business plan, how to write a channel design decision: intensive, selective...

how to write a channel design decision: intensive, selective and exclusive

Enumerate about the non-durable goods, Enumerate about the Non-durable Good...

Enumerate about the Non-durable Goods Non-durable goods are products which are normally consumed in one go or last for a few uses. Illustrations of such products are soap, s

Marginal rate of substitution, Michael Jordan lives in a world with only tw...

Michael Jordan lives in a world with only two goods:  basketballs and Gatorade.  Basketballs cost $10 each. Gatorade costs $2 per bottle. Point A on the graph below represents Jord

Illustrates the intend of marketing for customers, Illustrates the intend o...

Illustrates the intend of marketing for customers . Communication of information regarding the products assists customer finds out whether the product satisfies their requiremen

Problem Sum, "For every 2 vans in a car-park,there were 9 cars.For every 1 ...

"For every 2 vans in a car-park,there were 9 cars.For every 1 motorcycle,there were 3 cars.After 7 motorcycles left the car-park,2/13 of the remaining vehicle were motorcycles.How

Discuss about the term http, Discuss about the term http. Http: ...

Discuss about the term http. Http: Http is stands for Hyper Text Transfer Protocol, The WWW protocol which performs the request and retrieves functions of a server. Gene

Safety, explain right to safety

explain right to safety

7P, what is 7P in marketing management

what is 7P in marketing management

Describe how branding can benefit a tourism, Question 1: a) Explain dif...

Question 1: a) Explain different types of pricing techniques. As a consumer which method do you personally prefer to deal with? Justify your answer. b) Describe how brandi

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