Upstart·Data Scientist·Technical Phone Screen
Apr 2026
Upstart data scientist interview, looked like a technical phone screen focused almost entirely on probability, stats, and regression fundamentals. Nothing about the product or business, just math. Felt more like a grad school exam than a job interview.
- A radioactive atom has a half-life of 1 day. Starting with 100 identical atoms, what is the probability a single atom survives after 10 days, what distribution describes the number of surviving atoms, and what are the expected number remaining and the probability at least one is left?
- Given the prior probability of a condition, the probability of a positive test result given the condition is present, and the probability of a positive result given the condition is absent, derive the posterior probability that the condition is present given a positive test.
- If y = x + e where x and e are independent standard normals, what is the slope from regressing y on x, and what is the slope from regressing x on y?
- In the Monty Hall problem, after the host opens a losing door, should you switch or stay, and what is the winning probability for each strategy?
- You roll a fair n-sided die repeatedly. What is the expected number of rolls needed to see every face at least once?
- What is a likelihood function in parametric modeling, and how does it differ from a probability statement?
“The single-atom survival probability is just (1/2)^10, which is clean enough.” The rest of the author's notes on Data Scientist interview at Upstart, Technical Phone Screen round, covers how they worked through the question, what the panel pushed back on, and what they would do differently.
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