Question

When Zahra runs the 400 meter dash, her finishing times are normally distributedwith a mean of 84 seconds and a standard deviation of 1.5 seconds. Using theempirical rule, what percentage of races will her finishing time be between 81 and 87seconds?

Answer 1

Answer:

95% of her races, her finishing time will be between 81 and 87

Step-by-step explanation:

Parameters:

Mean, u = 84

Standard deviation, s = 1.5

81 is two standard deviations less than the mean, 84

87 is two standard deviations more than the mean, 84

We can conclude that 95% of her races, her finishing time will be between 81 and 87