use the graph to complete the following. the probability that a boxer weighs between 60 and 80 pounds is 95…

Answer:

16

Explanation:

Step1: Calculate z - score

$z=\frac{x - \mu}{\sigma}$, where $x = 65$, $\mu=70$, $\sigma = 5$. So $z=\frac{65 - 70}{5}=- 1$.

Step2: Use empirical rule

In a normal - distribution, about 68% of the data lies within 1 standard deviation of the mean ($\mu\pm\sigma$), 95% within 2 standard deviations ($\mu\pm2\sigma$), and 99.7% within 3 standard deviations ($\mu\pm3\sigma$). The area to the left of $z = - 1$ is 16% (since the area between $z=-1$ and $z = 1$ is 68%, so the area outside of this range in the two tails is $100 - 68=32%$, and the area in the left - hand tail is $\frac{32}{2}=16%$).