6.82 To study the disposal of pollutants emerging from a power plant, the prevailing wind direction was measured for a large number of days. The direction is measured on a scale of 0º to 360°, but by dividing each daily direction by 360, the measurements can be rescaled to the interval

(0,1). These rescaled measurements X are found to follow a beta distribution with 4 and 2. Find E(X ). To what angle does this mean correspond?