The boss has decided that the frequency of the glitches is u

The boss has decided that the frequency of the glitches is unacceptable, and has ordered the critical component of the production line to be replaced with a newer, more expensive model. This newer model is supposed to improve stability so that the glitch only occurs approximately once every m days on average (find the value of m from PF4NumberGen.m). Upon installing, the glitch occurs within 24 hours. It is suspected that the manufacturer of the component has shipped the older model (that typically glitches every n days) by mistake. Calculate the probability that each model of the component will cause a glitch within the next 24 hours.

Solution

6. probability = mCn (1/2)^m-n (1/4)ⁿ