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

Advertising and creation of utility, Q. Advertising and Creation of Utility...

Q. Advertising and Creation of Utility? Advertising creates place, time and perception utility. In case seasonal products it creates time usefulness by creating demand even in

International marketing, 1. Define international marketing and furnish its ...

1. Define international marketing and furnish its features. 2. avid Ricardo's theory of comparative advantage is an improvement over Adam Smith's theory of absolute advantage.

Probability and combinations, To play a certain lottery, a person has to co...

To play a certain lottery, a person has to correctly select 6 out of 53 numbers, paying $1 for each six-number selection. If the six numbers picked are the same as the ones drawn

Marketing Management, Marketing Management, Marketing ManagementDoes market...

Marketing Management, Marketing ManagementDoes marketing exist solely to increase profit? If this is the case, then marketing in nonprofit organizations can be said to be useless.

Marketing channels, if a consumer buys an item through a catalog over the p...

if a consumer buys an item through a catalog over the phone with a credit card, is the credit card a channel member?

Illustrate the effect on consumer choice, Q. Illustrate the Effect on Consu...

Q. Illustrate the Effect on Consumer Choice? Effect on Consumer Choice:- Advertising has favourable consequence on consumer-choice. Advertising give information about a variety

Case study, AThe rise of personal computers in the mid 1980s spurred intere...

AThe rise of personal computers in the mid 1980s spurred interest in computer games. This caused a crash in home Video game market. Interest in Video games was rekindled when a num

How marketing techniques ensured a competitive advantage, The Intercontinen...

The Intercontinental Hotels Group (IHG) has over 4,000 hotels worldwide. IHG owns Holiday Inn (a medium-price hotel chain), Holiday Inn Express (a budget chain), Candlewood Suites

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