HP 35s User Manual page 3

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HP 35s Normal distribution applications
Practice solving problems involving the normal distribution
Example 1: Find Q(x) for a Z value of +1. Make sure the HP 35s is in RPN mode.
Solution: With the input value given as a Z-score, we're dealing with the standardized normal distribution having a
mean of 0 and a standard deviation of 1. Press 95 to enter RPN mode.
In RPN mode:
Since we are dealing with a standardized normal distribution, the mean should stay equal to 0.
In RPN mode:
Since we are dealing with a standardized normal distribution, the standard deviation is equal to 1.
In RPN mode:
Now, calculate Q(x) for an x value of 1 by pressing:
In RPN mode:
In RPN mode:
Answer: The upper tail probability for the standardized normal distribution with a value of x equal to +1 is 0.1587.
This means that only 15.87% of all values would be larger than a Z-score of +1.
Example 2: Find Q(x) for a Z value of -1. Make sure the HP 35s is in RPN mode.
Solution: With the input value given as a Z-score, we're dealing with the standardized normal distribution having a
mean of 0 and a standard deviation of 1. Press 95 to enter RPN mode.
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HP 35s Normal distribution applications - Version 1.0