Gaussian Distribution Problems in Interviews
Overview
When going for any Machine Learning or Data Science Interviews, the interviewers like to check if a candidate can model a problem after a distribution. For everyone the favourite being the Gaussian Distribution. I'm sure everyone is familiar with how to do this, but to refresh everyones memory on the subject lets look at a question.
Interview Question
On any given day the average customer visiting a store is 500 and the standard deviation is 20. What is the probability that the number of customers on any day is in the range of 480-520.
Solution
So lets note own the details of the problem
We know that the mean \(\mu\) is 500 and \(\sigma\) is 20. Assuming gaussian distribution. Our model will look something like this:
So the total percentage is 68.26%