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June 29, 2016 17:44
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We had some data on the response time of some code after we deployed a speed up and we wanted to know if it was fast enough. The numbers I have below are in milliseconds, and we have to deliver under 1 second. I used Python for my work, this is a Ruby version of the same. Requires the distribution gem to be installed.
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| mu = 522 # mean observation | |
| max = 859 # max observation, assumed 2 standard deviations above the mean | |
| std = (max - mu) / 2.0 # standard deviation | |
| z = (1000 - mu) / std # 1,000 is when we have a problem, so what is the z-score of a problem? | |
| p = Distribution::Normal.cdf(z) # get the probability of this event | |
| # Python version of the same is: p = stats.norm.cdf(z) | |
| 1 - p # The probability of having a problem |
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