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This question is commonly asked for Data Scientist candidates at Uber during technical interviews.

Compute CDF from a PDF Function | Uber Interview Question

Compute CDF from a PDF Function

Last updated: May 2, 2026

Quick Overview

This question evaluates a candidate's skills in numerical integration, applied numerical methods, and probability/statistics by requiring construction of a cumulative distribution function from a provided PDF.

Uber

Apr 30, 2026, 12:00 AM

Data Scientist

Technical Screen

Coding & Algorithms

You are given a callable function pdf(t) that returns the probability density of a normal distribution at value t. Implement a function cdf(x) that returns the cumulative probability:

P(X <= x) = integral from -infinity to x of pdf(t) dt

Requirements:

You may call pdf(t) as often as needed.
Do not call a built-in CDF function from a statistics library.
Use a numerical method to approximate the integral.
Your implementation should handle positive and negative x values.
State any assumptions you make about numerical precision, integration bounds, and convergence.

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