# Find z such that 96% of the standard normal curve lies to the left of z

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Find z such that 96% of the standard normal curve lies to the left of z

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Step 1

The total area under the normal curve is equal to 1 and contains 100% of all  probabilities.

Z score tells us what percentage of area is below that value of Z.  The area under the curve shaded in yellow comprises 96% of all probabilities. This means that P(Z<z) = 0.96

From Z table, we can read the value of this z corresponding to probability of 0.96

Step 2

To read z value from Z table, mark your probability or approximately the same value and first write the corresponding row (1.7 in this case) and then the corresponding column( 0.05 or 0.06) and add them.  This will tell us that the z value lies between 1.75 and 1.76  as shown below.

Step 3

To get the exact z value use Excel ...

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