I am a freshman in physics, just done a lab about radioactive decay.
I've measured the # of beta particles per second 400 times and got the frequency of each number K using Excel.
I'm supposed to take the data and fit it to a puason distribution in MATlab.
The data points themselves seem to be on a nice curve.
The problem I'm having is that the equation for the probabilty doesn't seem to curve at all.
Puason distribution in radioactive decay: the chance that K beta particles will be detected in 1 second is
P(k) = e^-λ * λ^K/K!
The Attempt at a Solution
I've made an excel chart which shows λ^K/K! for many different K values, and then tweaked the lambda value.
For all the values of λ I've tried, λ^K/K! always increases for increasing values of K, meaning the graph never curves back down. What am I doing wrong?