A local carnival game is played by randomly selecting a ball from a bucket that contains red balls, green balls, orange balls, and pink balls. Red balls are worth 2 points, green balls are worth 1 point, orange balls are worth 3 points, and pink balls are worth 4 points. The bucket contains 5 red balls, 7 green balls, 4 orange balls, and 4 pink balls. Fill in the probability distribution for the number of points scored. Write your answers to two decimal places. X 1 2 3 4 Pr(X) Question 2 1 pts The rules of a new board game say that a player must flip a coin and roll a die. A heads on the coin is worth one point and a tails on the coin is worth two points. The player also scores a number of points equal to the result of the die. The probability distribution table for the number of points scored follows: X 2 3 4 5 6 7 8 Pr(X) 0.08 0.17 0.17 0.17 0.17 0.17 0.08 Find the mean value of the distribution