the graph shows the distribution of the lengths (in seconds) of videos on a popular video - streaming site…

the graph shows the distribution of the lengths (in seconds) of videos on a popular video - streaming site. the distribution is approximately normal, with a mean of 264 seconds and a standard deviation of 75 seconds. streaming videos sixteen percent of videos are shorter than what length? 39 seconds 114 seconds 189 seconds 339 seconds

the graph shows the distribution of the lengths (in seconds) of videos on a popular video - streaming site. the distribution is approximately normal, with a mean of 264 seconds and a standard deviation of 75 seconds. streaming videos sixteen percent of videos are shorter than what length? 39 seconds 114 seconds 189 seconds 339 seconds

Answer

Answer:

189 seconds

Explanation:

Step1: Recall the properties of normal distribution

In a normal - distribution, about 16% of the data lies below 1 standard deviation below the mean.

Step2: Calculate the value

Given mean $\mu = 264$ seconds and standard deviation $\sigma=75$ seconds. The value 1 standard - deviation below the mean is $\mu-\sigma=264 - 75=189$ seconds. So 16 percent of videos are shorter than 189 seconds.