Statistics Problems

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

Fifteen more statistics interview questions, one tier up from the easy set. This set is mostly compute — expectations, variances, and MLEs — with a few derivation/explain questions mixed in (those use the "Show model answer" format). Progress is saved in this browser, and wrong numeric checks reveal the official answer after two attempts.

Hints: most of these want an expectation via conditioning (set up $E[X] = \dots + \dots E[X]$ and solve) or a coupon-collector-style sum of geometrics — identify which pattern applies before grinding through algebra.

0/15 solved

6.11Google

Using “proportion” and “CLT”, explain:

How would you derive a confidence interval for the probability of flipping heads from a series of coin tosses?

Minimum 3 words. Your answer must include: “proportion”, “CLT”.

0 words/ 3 min

Meet the writing requirements, then you can open the model answer.