I am trying to decide on an Echo after my TM's first submersion. I am hesitating between overclocking and program (signal scrub or baby monitor). I was trying to analyse the effect of an extra d6 on my initiative rolls, and after reading about variance and trying to use my longtime buried knowledge of statistics I just remembered using wolfram alpha a few years ago, and gave it a try. It is awesome. See:

https://www.wolframalpha.com/input/?i=probability+of+scoring+12+or+less+with+4d6looking for probabilities with 5d6 and for scoring 23 or more with 4 and 5 dice (as my base initiative score is 8 ) makes it clear that one extra d6 is giving me one extra pass 1 out 3 rolls. That's huge.

(edit): adding 3,5 to the expected value is one extra pass 1 out of 3 times - that should have been clear without wolfram alpha. However variance is different, and now I know that there is a less than 10% chance that I score 12 or less with 5 dice (the same goes for 23 or more), and have only two passes in a combat turn, while there is a 30% chance for that with only 4 dice (+8 ).

Use Wolfram alpha, because it is awesome!