select the correct answer.\nthe speed of nitrogen molecules in the atmosphere (at 20°c) follows a normal…

select the correct answer.\nthe speed of nitrogen molecules in the atmosphere (at 20°c) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. which conclusion does this information best support?\na. 84% of the molecules have speeds between 450 meters/second and 550 meters/second.\nb. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.\nc. 50% of the molecules have speeds between 450 meters/second and 550 meters/second.\nd. 34% of the molecules have speeds greater than 550 meters/second.

select the correct answer.\nthe speed of nitrogen molecules in the atmosphere (at 20°c) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. which conclusion does this information best support?\na. 84% of the molecules have speeds between 450 meters/second and 550 meters/second.\nb. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.\nc. 50% of the molecules have speeds between 450 meters/second and 550 meters/second.\nd. 34% of the molecules have speeds greater than 550 meters/second.

Answer

Explanation:

Step1: Recall normal - distribution property

In a normal distribution, about 68% of the data lies within 1 standard deviation of the mean. The mean is $\mu = 500$ m/s and the standard deviation is $\sigma=50$ m/s. The interval $450$ m/s to $550$ m/s is $\mu-\sigma$ to $\mu + \sigma$ since $500 - 50=450$ and $500 + 50 = 550$.

Answer:

B. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.