title: Generate a Probability Density Function based on P10, P50 and P90 values in Python
body: <p>I want to use P10, P50 and P90 values as input to:
  A) generate a probability density function (This feels like a Myerson distribution, but I can't figure out how to do that in Python. There's an addon in Excel which does exactly that though; SIPMath)
  B) run a simulation (Monte Carlo?) on the PDF</p>
  
  <p>Example: I want to make a simulation of how long it would take to run from A to B.</p>
  
  <pre><code>P10 = 1 hour
  P50 = 1.5 hours
  P90 = 2.5 hours
  </code></pre>
  
  <p>Meaning 10% of the attempts I run from A to B in 1 hour or less, 50% of the attempts I run from A to B in 1.5 hours or less (i.e. 1.5 is the mean). and 10% of the attempts I will spend more than 2.5 hours.</p>
  
  <p>Thank you</p>