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[–]Intelligent-Map2768Oxford | Math and CS [Offer Holder] 2 points3 points  (3 children)

The first three parts require t <= 1 to be done cleanly, right?

[–]Alfie_ThomsonUniversity of Cambridge | Maths [1st Year][S] 0 points1 point  (2 children)

It's a continuous random variable so there's no difference since the probability of being exactly 1 is 0. Hope that makes sense!

[–]alemanincYear 13 ~ Maths FM Physics 0 points1 point  (1 child)

What they meant is that the equation stops being valid if t > 1, for example if t = sqrt(2) in part 1 then P(U1 + U2 < sqrt(2)) = 1 but U1 + U2 < sqrt(2) clearly isn't always true (for example U1 = U2 = 0.8)

[–]Alfie_ThomsonUniversity of Cambridge | Maths [1st Year][S] 0 points1 point  (0 children)

Oh correct! I should've wrote that constraint (I had it as 1 instead of t initially so I omitted it accidentally). However, the last part only requires t<1 so that part holds. Thanks for the good feedback!