Compute stockout sufficiency probability
Company: SIG (Susquehanna)
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Online Assessment
In a bakery, each customer buys one item: a croissant with probability 70% and a muffin with probability 30%, independently. There are 2 muffins left and 5 customers remain in line. What is the probability that the two muffins suffice (i.e., no customer wants a muffin after muffins are depleted)?
Overview: This question evaluates understanding of discrete probability and binomial models for independent Bernoulli trials, testing the ability to compute the probability that a limited resource meets random demand.