Figure 5
Plot (a): Wave distribution: It is a histogram that shows the “Frequency” versus “Wave heights (meters).” The horizontal axis is labeled “Wave heights (meters)” and ranges from 0 to 15 in increments of 5 units. The vertical axis is labeled “Frequency” and ranges from 0 to 12 in increments of 2 units. This axis is scaled by 10 to the 4 power. The plot displays a highly skewed distribution, with a massive peak in frequency occurring near zero wave height. The frequency reaches approximately 10 times 10 to the 4 power for the smallest waves, and then decreases very rapidly and tails off toward the right, with wave heights extending up to 15 meters, though with very low frequency at the higher end. Part (b): Inverse C D F: The vertical axis is labeled “Wave heights (meters)” and ranges from 0 to 15 in increments of 5 units. The horizontal axis is labeled “Probability Density” and ranges from 0 to 1 in increments of 0.1 units. The curve starts near 0 meters wave height at a probability density of 0 and rises slowly until a probability density of about 0.8. After this point, the curve rises steeply, indicating that the highest wave heights (up to 15 meters) correspond to the highest probability density values. Note: All numerical values are approximated.Wave distribution and its inverse CDF. Source: Created by authors