Question

(b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations?

Answer 1

Answer:

>0.95

Step-by-step explanation:

This probably refers to a normal distribution. In a normal distribution, according to the empirical rule,

68% of observed data falls within 1 standard deviation of the mean

95% falls within 2 standard deviations of the mean

99.7% falls within 3 standard deviations of the mean

In this case, the observed data is distance and the average figure for all observed distances is the mean distance.

So, the probability that a/any distance observed exceeds the mean distance by more than 2 standard deviations is >95%

In other words, the probability is >0.95