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

Product policies, Product policies: Product policies are the general...

Product policies: Product policies are the general rules set up by the management itself in the marketing product decisions. Products of a firm are the backbone with which p

Objectives of measuring advertising, Objectives of measuring advertising: ...

Objectives of measuring advertising: some advertisers do not bother to measure advertising effectiveness. They expect that the sales will ultimately increases by the reason of adv

Explain about piecemeal modernization, Explain about piecemeal modernizatio...

Explain about piecemeal modernization in the line modernization. Piecemeal modernization is less of a drain upon the company’s cash flow. A main disadvantage of Piecemeal Moder

Fruit store, write an algorithm to calculate fruit for a fruit store for ex...

write an algorithm to calculate fruit for a fruit store for example apple = $1.00 and orange $2.00

Consumer surplus, Initially supply falls as goods may be destroyed. As the ...

Initially supply falls as goods may be destroyed. As the disaster strikes, the demand also rises in anticipation of more supply disruptions as people want to 'stock up' on the good

Derivative Differentiation, The derivative of a function is an important to...

The derivative of a function is an important tool in mathematics. The motion of derivative was introduced to solve problems of Physics concerning motion of an object. The velocity

Stages in new product development, Q.   Describe various stages in New Pro...

Q.   Describe various stages in New Product Development. O R Describe the steps in NPD process. Ans.:   The many stages in NPD are:- (1)   G enerating  Ne

Advantages of product branding to customers, Advantages to customers: 1...

Advantages to customers: 1.       Easy to recognize: use of a particular brand of a producer makes it very easy for the customers to recognize the product of such producer be

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