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Find a and b assuming z-scores are normally distributed

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Assuming that the Z-scores are normally distributed with a mean u = 0 and a standard deviation sigma = 1.0 and if:
a. P (0<z<a) = 0.3212 + n/100, find a?
b. P (-b<z<b) = 0.3182 - n/100, find b?

Note: if the number is not in the table use the nearest number in the table.

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This solution contains step-by-step calculations to determine the variables from z-score functions.

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mu = 0, sigma = 1

(a) P(0 < z < a) = 0.3212 + (25/100) = 0.5712

a = -0.1794 ...

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