Question

use the graph to complete the following. the probability that a boxer weighs between 60 and 80 pounds is % done μ = 70 σ = 5 55 60 65 70 75 80 85

Explanation:

Step1: Identify the distribution

This is a normal distribution with mean $\mu = 70$ and standard deviation $\sigma = 5$.

Step2: Calculate the number of standard deviations

For $x = 60$: $z_1=\frac{60 - 70}{5}=\frac{- 10}{5}=-2$
For $x = 80$: $z_2=\frac{80 - 70}{5}=\frac{10}{5}=2$

Step3: Use the empirical rule

The empirical rule states that for a normal distribution, approximately 95% of the data lies within $z=- 2$ and $z = 2$ (i.e., within 2 standard deviations of the mean).

Answer:

95