Please show all equations and work$-$ups, so I can follow along!

Thanks. The AI answers are not clear enough, or complete.

A nuclear facility in a coastal region is built to withstand ocean wave forces. Suppose the annual maximum wave height of the ocean waves $($above the sea level$)$ is a $**$Gamma distributed random variable$**$ with mean height of $4\mathrm{.}0$ meters and coefficient of variation of $0\mathrm{.}8.$

a$.$ What is the probability that the wave height will exceed $6$ meters in any year?

b$.$ To construct the nuclear facility in a safe manner, an engineer is assigned to compute a design wave height $($above sea level$)$ that will not be exceeded by ocean waves over a $10-$year period with a probability of $95\%[$i$.$e$.,10-$yr reliability $=0\mathrm{.}95].$ Assuming that wave height exceedances between years are statistically independent, what should be the height of the design wave above the sea level?