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Looks like plots became of low quality in Mathematica 9?

enter image description here

How to make Mathematica to plot continuously? Logically current plot style is solid.

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Looks fine for me, 9.0.1 on Windows. – ciao May 31 '14 at 7:27
You can remove the gaps by adding Exclusions -> None so it will be a continuous stairs like plot – Nasser May 31 '14 at 7:57
Please post the actual code (as text) in addition to the picture. – Yves Klett May 31 '14 at 8:25
The CDF of a binomial distribution is not a continuous function. – Mike Z. May 31 '14 at 12:36

Interestingly, your plot rendered fine as per my comments, and more interestingly, as soon as I added an Export after the fact, the plot looked like yours. This persisted even after removing the export and re-plotting: I had to quit the kernel, restart, and re-plot. Might be a weird bug, I will be investigating further.

In any case, DiscretePlot is really better suited to the CDF of a discrete distribution:

DiscretePlot[CDF[BinomialDistribution[1001, 1/2], x], {x, 0, 1001}, 
             PlotRange -> {0, 1}, Filling -> None, Joined -> True]

enter image description here

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