The income distribution in a county is a normal distribution

The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners earn $18,000 or more. Which sentence most closely summarizes this information? 68% of the wage earners earn less than $14,000 each. 16% of the wage earners earn less than $14,000 each. 55% of the wage earners earn less than $14,000 each. 84% of the wage earners earn less than $14,000 each. 95% of the wage earners earn less than $14,000 each.

Solution

2.5 + 2.5 = 5

which correlates to the 95% fall withn 2 sds of the mean.

Hence 95% of the wage earners earn less than $ 14,000 each.