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Rising above the ceiling (Posted on 2022-12-06) Difficulty: 3 of 5
x and y are two real numbers, each of which is uniformly randomly chosen in the interval (1,5).

Determine the probability of each of the following events:

(i) ⌈3*x⌉ + ⌈4*y⌉ = ⌈3*x + 4*y⌉
(ii) ⌈3*x⌉ - ⌈4*y⌉ = ⌈3*x - 4*y⌉
(iii) ⌈3*x⌉ * ⌈4*y⌉ = ⌈12*x*y⌉           
                             
      ⌈3*x⌉              
(iv) --------- = ⌈(3*x)/(4*y)⌉
      ⌈4*y⌉ 
*** ⌈n⌉ denotes ceiling(n), that is, the lowest integer greater than or equal to n.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Part (iii) my waySteven Lord2022-12-09 00:03:49
Some ThoughtsPart 3Brian Smith2022-12-08 11:32:15
part (iv)Jer2022-12-08 11:11:36
Part (iii)Jer2022-12-08 10:09:17
progress on the mathSteven Lord2022-12-07 07:12:28
Some ThoughtsSome simulatonsCharlie2022-12-06 09:56:10
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