Compute stockout sufficiency probability

Q: Compute stockout sufficiency probability

This is a Statistics & Math interview question from SIG (Susquehanna) for Data Scientist roles. View the full question and solution on PracHub.

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Question

Probability That Muffins Suffice

Setup

Each of the 5 remaining customers independently chooses one item:
- Croissant with probability 0.7
- Muffin with probability 0.3
The bakery has 2 muffins left.

Task

What is the probability that the two muffins suffice for all remaining customers (i.e., there is no customer who wants a muffin after muffins are depleted)?

Hint: This is equivalent to “no more than 2 of the 5 customers want a muffin.”

Compute stockout sufficiency probability

Probability That Muffins Suffice

Setup

Task

Solution

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