# Normal Probability and Z-score

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Lab technicians at a major mdical lab can process an average of 400 blood samples a day with a standard deviation of 50 samples. The processing follows a normal distribution.

Convert 445 blood samples into a z-value (standard score).

What is the area under the normal curve between 400 and 482?

What is the area under the normal curve for ratings greater than 482?

Interpret the result. What does the standard score represent? What does the area under the normal curve mean?

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##### Solution Summary

The solution provides step-by-step method for the calculation of area under a normal curve using the Z score. The solution provides the meaning of normal curve and standard score. Formula for the calculation and Interpretations of the results are also included.

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