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

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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!