Question

Today, the waves are crashing onto the beach every 4.7 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.7 seconds. Round to 4 decimal places where possible. The mean of this distribution is.....

Answer 1

The mean of the distribution is 2.35 seconds.

Step-by-step explanation:

The mean of a uniform distribution is calculated by finding the average of the lower and upper bounds of the distribution.

In this case, the lower bound is 0 seconds and the upper bound is 4.7 seconds.

To find the mean, add the lower and upper bounds together and divide by 2.

Mean = (0 + 4.7) / 2 = 2.35 seconds

Therefore, the mean of this distribution is 2.35 seconds.