Here is the plot of two normal distributions:

1. Blue curve: Represents the normal distribution with $\mu = 69$ and $\sigma = 3$, which is the distribution relevant to your problem.
2. Green curve: Represents the standard normal distribution with $\mu = 0$ and $\sigma = 1$, shown for comparison.

The shaded blue area corresponds to $P(X > 72)$, which equals $0.1587$, and it is the area under the curve to the right of $X = 72$ (indicated by the red dashed line).

Would you like further clarification or additional details?

Here are five related questions for further exploration:

1. How does changing the mean affect the shape and position of the normal distribution curve?
2. What happens to the probability $P(X > 72)$ if the standard deviation increases?
3. Can you calculate the probability $P(X < 66)$ for the same distribution?
4. How would you calculate the probability for a range, such as $P(67 < X < 72)$?
5. What is the relationship between the Z-score and the probability for normal distributions?

Tip: In normal distributions, about 68% of values fall within one standard deviation of the mean.