It's true - sand dunes in Colorado rival sand dunes of the Great Sahara Desert! The highest dunes at Great Sand Dunes National Monument extending over 700 feet in height. However, like all sand dunes, they tend to move around in the wind. This can cause a bit of trouble for ter Roads, parking lots, campgrounds, small buildings, trees, and other vegetation are destroyed when a sand dune moves in and takes over. Su move out of the main body of sand dunes and, by the force of nature (prevailing winds), take over whatever space they choose to occupy. In escape dune can take years to relocate itself. Just how fast does an escape dune move? Let x be a random variable representing movement crest of the dune). Let us assume that x has a normal distribution with A = 13 feet per year and o = 4.5 feet per year. Under the influence of prevailing wind patterns, what is the probability of each of the following? (Round your answers to four decimal places. LO USE SALT (a) an escape dune will move a total distance of more than 90 feet in 8 years (b) an escape dune will move a total distance of less than 80 feet in 8 years (c) an escape dune will move a total distance of between 80 and 90 feet in 8 years