Final answer:
Approximately 97.5% of people would have scores lower than an individual with a z-score of 1.96, according to a standard normal distribution.
Step-by-step explanation:
Approximately 95% of values lie within two standard deviations of the mean in a normal distribution, according to the empirical rule, also known as the 68-95-99.7 rule.
The individual with a z-score of 1.96 falls just slightly below the 97.5th percentile, as values up to a z-score of 2 encompass about 95% of all values, following a standard normal distribution.
Therefore, if we check a z-table, the exact area to the left of the z-score of 1.96 gives us about 97.5%, implying that approximately 97.5% of people would have scores Lesser than the individual of score of 1.96..