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## Homework Statement

how to do with the normal distribution if the mean is not 0 variance is not 1.

for example p(x>1) if x-N(2,3) ?

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- Thread starter ak123456
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how to do with the normal distribution if the mean is not 0 variance is not 1.

for example p(x>1) if x-N(2,3) ?

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Mark44

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The transformation works the other way, too, with x = z sigma + mu.

The probability you want is

P(x > 1)

= P(z sigma + mu > 1)

Work with the expression in parentheses above, using the properties of inequalities, to get a probability involving z all by itself. The idea is that if you have equivalent inequalities, the probabilities will be equal. You should end up with a probability of the form P(z > ...). You can find that probability in a table of standard normal distribution probabilities.

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