Question

What is the probability of a normal variable being lower than 5.2 standard deviations below its...

What is the probability of a normal variable being lower than 5.2 standard deviations below its mean?

Do you need to know the mean and standard deviation?

2. What is the probability of a normal variable being within 1.2 standard deviations of its mean?

Do you need to know the mean and standard deviation?

Math   Statistics-And-Probability   
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Answer #1

1.

The probability of a normal variable being lower than 5.2 standard deviations below its mean =P(Z < -5.2) =0

(where Z =Standard Normal Variate with standardized value of mean is 0 and standardized value of standard deviation is 1).

We need not know the actual mean and standard deviation values.

2.

The probability of a normal variable being within 1.2 standard deviations of its mean =P(-1.2 Z 1.2) =0.7699

(where Z =Standard Normal Variate with standardized value of mean is 0 and standardized value of standard deviation is 1).

We need not know the actual mean and standard deviation values.

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