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Explain the Algorithm of 2 standard deviations above the mean and that of the standard normal...

Explain the Algorithm of 2 standard deviations above the mean and that of the standard normal distribition table.
Math   Statistics-And-Probability   
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Answer #1

The mean of a standard normal distribution is 0 and standard deviation is 1.

Let Z be the random variable following standard normal distribution i.e. Z ~ N(0,1).

Two standard deviations above the mean is = 0 + (2 * 1) = 2

Hence, two standard deviations above the mean will be the area corresponding to Z > 2 in the standard normal distribution curve.

The area is = P(Z > 2) = 0.0228.

The graph is:

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