Empirical Rule problem

I know the concept of the empirical rule but how do I go about solving these problems?

Amy recently took an IQ test and scored a 130. IQ tests have been administered for year and have a mean of 100 and a standard deviation of 15

1) What percentage of the population has a higher IQ than Amy?
2) What percentage of the population has a lower IQ than Amy?

1) ANSWER: The probability of higher IQ than Amy is 2.3% (1 - 0.977)
2) ANSWER: The probability of lower IQ than Amy is 97.7%.


Why???

NORMAL DISTRIBUTION, STANDARDIZED VARIABLE z, PROBABILITY "LOOK-UP"
STANDARDIZED VARIABLE: z = (x - µ)/(σ)
= (130 - 100)/(15)) = 2

SAMPLE MEAN: x = 130
POPULATION MEAN: µ = 100
POPULATION STANDARD DEVIATION: σ = 15
SAMPLE SIZE: n = 1

SIGNIFICANT DIGITS = 3

The Table for Standard Normal Distribution is organized as a cummulative 'area' from the LEFT corresponding to the STANDARDIZED VARIABLE z. The Standard Normal Distribution is also symmetric (called a 'Bell Curve') which means its an interpretive procedure to Look-Up the 'area' from the Table. For STANDARDIZED VARIABLE z = 2 the Table left column shows two (2) significant digits and one (1) additional significant digit in the top row corresponding to a LEFT 'area' = 0.977. And due to Table's cummulative nature, the corresponding RIGHT 'area' = 1 - 0.977