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Q: What is the area under a curve with mu equals 15 and sigma equals 2?

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The area under a normal curve with mu = 8 and sigma = 3 is

It's just rock and roll...

1 sigma does not represent 68.8 percent of anything.The area under the standard normal curve, between -0.5 and +0.5, that i, the central 1 sigma, is equal to 0.68269 or 68.3%.

What is the area under the normal curve between z equals 0.0 and z equals 2.0?

It is 0.

0.0606

The area is 0.008894

(3ab*pi)

1

By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.

0.4846

0.0006 (approx).

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