A local carnival game is played by randomly selecting two balls from a bucket that contains red balls, green balls, and orange balls. Red balls are worth 2 points, green balls are worth 1 point, and orange balls are worth 3 points. The bucket contains 2 red balls, 3 green balls, and 5 orange balls. The probability distribution table for the number of points scored follows:

X	2	3	4	5	6
P(X)	115	215	1645	29	29

The mean value of this distribution is 4.4. Find the standard deviation of the distribution. Round your answer to four decimal place