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the expectation value is simply 1e6 * P(1) = 1e6 * 1e6/2**32 = 232.83 ... the standard deviation is simply the square root of the expectation value, so 15.5.
Based upon a run of 100 samples, that seems to match quite nicely:
I'm doing a run of 1000 samples, and if that shows no surprises, I'll be taking your figures as read and basing my testing upon it.
Update: The 1000 sample run marries well (good enough):
With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
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