Question

The average time to run the 5 K fun run is 20 minutes and the standard deviation is 2.5 minutes. 43 runners are randomly selected to run the 5 K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.

a. What is the distribution of X?X∼N(,)

Answer 1

The distribution of X is X ~ N(20, 2.5^2).

Step-by-step explanation:

The distribution of X, which represents the average time to run the 5 K fun run for randomly selected runners, is X ~ N(20, 2.5^2). This means that X follows a normal distribution with a mean of 20 and a standard deviation of 2.5.