Tony participated in a long-distance bike race. The graph shows the distance in miles he traveled over the course of the race. What was Tony’s speed throughout the race?

The probability would be 0.1193.

We compute the z-score for each end of this interval.  For the lower end, 66 inches,

z = (X-μ)/σ = (66-68)/3 = -2/3 = -0.67

For the upper end, 67 inches,

z = (X-μ)/σ = (67-68)/3 = -1/3 = -0.33

we find the area to the left of (lower than) the lower limit is 0.2514.  The area to the left of (lower than) the upper limit is 0.3707.  To find the area between these, we subtract:

0.3707 - 0.2514 = 0.1193.

Step-by-step explanation: