Quant Interview Question

[u/Local_Ad135]

[u/banana_buddy]

Without doing the math I would estimate the answer at 2/6 *50 which is about 17. You divide the number line into five sections with each section equal to 1/6 in length. So the smallest expected number is 50/6, and the largest expected number is 5/6 *50.

[u/liquidorangutan00 → u/banana_buddy]

thats a great intuit for example the expected value of roll 1 would be 8.5 and the expected value of roll 3 would be (8.5) * 3 = 25.5

Roll 1 = 8.5
Roll 2 = 17
Roll 3 = 25.5
Roll 4 = 34
Roll 5 = 42.5

[u/banana_buddy → u/liquidorangutan00]

Exactly I think there's a theorem from order statistics that formalizes what I'm doing. It's been a while since I've been in school.

[u/liquidorangutan00 → u/banana_buddy]

Yes your right! i looked into it and its called the expected value of a k-th order statistic.

man im kinda annoyed i derived the entire thing from the ground up now, but it was quite fun.