Statistics Problems

Source: Problem prompts adapted from Ace the Data Science Interview — Chapter 6 Hard set (Huo & Singh). Model answers and explanations here are original for this course.

Fifteen advanced statistics interview questions, continuing from the easy and medium sets. A mix of compute (numeric-answer, checked) and derivation/definition questions (concept — write your answer in the text box; some require minWords / keyword vocabulary before the model answer unlocks).

Hints: several of these hinge on recognizing a moment generating function, a self-similar recurrence (condition on the first draw and get $m(t)$ back on the right-hand side), or a symmetry argument that skips the algebra entirely.

0/15 solved

6.26Google

You keep drawing i.i.d. $U(0,1)$ values as long as the sequence stays strictly increasing (starting from the first draw). What is the expected length of the sequence?

Enter a number (at most 2 decimal places).