Uniform Distribution - Solving Qc and Qd for Screen Placement | Math Homework

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Homework Help Overview

The discussion revolves around solving questions related to uniform distribution in a mathematical context, specifically focusing on screen placement constraints and probability calculations for given dimensions.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the constraints for placement of a screen, questioning how to calculate the number of possible solutions given the defined boundaries. Some participants discuss the implications of assuming independence of variables and the dimensions of the screen.

Discussion Status

There are various attempts to calculate probabilities for specific areas of the screen, with some participants providing numerical values. However, the discussion reveals a lack of consensus on the correctness of these calculations, and there is a recognition of the need for clearer explanations in the working process.

Contextual Notes

Participants note the requirement to show sufficient working for credit, as emphasized in the provided homework guidelines.

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Homework Statement



http://www.xtremepapers.com/Edexcel/Advanced%20Level/Mathematics/Subject%20Sorted/S2/Solomon/Solomon%20B.pdf

Questions 3c and 3d

Homework Equations


The Attempt at a Solution


ok so for Qc) it must be between 6 and 10 cm from the bottom and 8 and 12 cm from the left

d) it must be within a square 2 cm all the way around the outer full screen

But I don't see how to calculate the answers - there are an infinite number of solutions
 
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Prefacing everything with "Assuming X and Y are independent"... and for extra deviousness, "and that the screen is 20cm x 16cm".

For c), it occupies 1/5 of the horizontal distance and 1/4 of the vertical distance.

For d), take a clue from above and work out the probability of a dot appearing in any 1 cm2 of the screen.
 
ok so c) 1/20

d) any 1 cm2 = 1/320
(16*20)-(16*12) = 128
1/320 * 128 = 2/5

is that right?
 
apart from needing some explanatory text, looks ok
 
what explanatory text
 
To quote the front page of the paper:

Advice to Candidates
You must show sufficient working to make your methods clear to an examiner.
Answers without working will gain no credit.
 
me sad
but thanks for that!
 

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