Question

this week, a very large running race (5k) occured in denver. the times were normally distributed, with a mean of 24.7 minutes and a standard deviation of 2.02 minutes. a. what percent of runners took 21.67 minutes or less to complete the race?

Answer 1

The percentage of runners who took 21.67 minutes or less to complete the race is 0.606%

What is a normal distribution?

It is also known as Gaussian distribution. It shows the data near the more. This appears as a bell curve in graphical form. It is a continuous random variable's frequency distribution curve in the shape of a bell. It is employed to describe real-valued random variables with an unknowable distribution. It is important in statistics and is also applied in the natural and social sciences. The data has a bell shape when plotted on a graph.

μ=24.7 min

σ=2.02 min

z=((x-μ)/σ)

p(x<21.67)=p((x-24.7)/2.02) ≤ ((21.67-24.7)/2.02)

p(z≤-1.5)

p(z <21.67)=0.606

To know more about normal distribution, visit:

https://brainly.com/question/15103234

#SPJ4