MCB111: Mathematics in Biology (Fall 2022)

week 02:

Probability and inference of parameters

How much you trust your experiment?

As a new graduate student, you are picking up a project from a postdoc in the lab who is about to leave lab. This postdoc tells you that her experiments fail at a rate of 1 in 5. Your warmup job is to figure out why, and to see how you can improve that performance.

You start running the experiment with your own hands. After two consecutive success (ss), your experiment fails 2 times in a row


Note: I generated all the data with a particular probability of failure \(p_f\) that will be revealed after the homework has been turned in.