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7 Dec 2021
Given information
What is the of if it is standard deviations to the left of the mean?
Step-by-step explanation
Step 1.
For the random variable defined as the is given by,
The tells the position of with respect to the mean .
When is positive, is above or right of the mean, and when is negative, is below or left of the mean.
Given that, and the is standard deviations to the right of the mean, therefore
Now, we use the formula for the
For the standard normal distribution , therefore
.
Hence, the is .
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