Find the percent of the total area under the standard normal curve between the f

Question

Find the percent of the total area under the standard normal curve between the following z-scores. This problem can be solved using technology or the table for the standard normal curve frm your text.

Z=0.75 and z=1.2

The percent of the total area between z-0.75 and z=1.2 is ___%. Round to the nearest whole percent as needed.

Explanation / Answer

The total area under a probabilty distribution function is 1. The area between any two points: a and b is: b > a F(b) - F(a): F is the cumulative distribution function: Here we have: a = 0.75, b = 1.2 Looking at the table: F(0.75) = 0.7734 F(1.2) = 0.8849 F(1.2) - F(0.75) = 0.1115 The percentage is this number divided by 1 times 100: 11.15 % ~ 11 %

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