What would I do to solve this?
The average middle-distance runner at a local high school runs the mile in 4.5 minutes, with a standard deviation of 0.3 minute. The percentage of a runners that will run the mile in less than 4 minutes is ________%.

Question

What would I do to solve this?
The average middle-distance runner at a local high school runs the mile in 4.5 minutes, with a standard deviation of 0.3 minute. The percentage of a runners that will run the mile in less than 4 minutes is ________%.

kirbykirby · Answer

If your data is assumed to be normally distributed, then you can find the Z score  for this to help you with the problem.

kirbykirby · Answer

If it's assumed to be normal, $X$ is the number of people that run a mile. You can standardize X by doing
$$Z=\frac{X-\mu}{\sigma} $$, SO the problem is asking $$ P(X < 4)$$, and so y standardizing:
$$P(X<4) = P\left( Z<\frac{4-4.5}{0.3}\right) =P(Z<-1.67)$$

yanasidlinskiy · Answer

I would have to solve for P?

yanasidlinskiy · Answer

Oh wait.....Is that the answer? $\huge{\uparrow}$