Consider ocean waves during an intense storm off the Tybee coast. The wave amplitude H is approximately a Gaussian variable with mean zero. The intensity of the storm is measured by the standard deviation of H given by σ=2 meters. Compute:
a. the probability that the wave height H>24 meters; this is the probability of occurrence of giant waves in the middle of ocean usually called as rogue waves.
b. the probability that the wave height 0.5 meters