Question

within a population, iq score has a normal distribution with a mean of \\( \mu = 100 \\) and a standard deviation of \\( \sigma = 15 \\). apply the empirical rule to find the probability that an individual has an iq score above 130. (1 point)
\\( \square \\% \\)
check answer remaining attempts : 3

Explanation:

Step1: Calculate z-score for 130

$z = \frac{130 - 100}{15} = 2$ (130 is 2σ above μ)

Step2: Apply Empirical Rule

95% of data is within μ±2σ, so 5% is outside. Half is above 2σ: $\frac{5\%}{2} = 2.5\%$

Answer:

2.5%