4) Compute the standard deviation of the following probability distribution (6 points). X 1 2 8 15 SUM P( X) 0.35 0.45 0.12 0.08 X * P(X) X2 x P ( X ) 5) Assume each spinner is spun and the number that the dial on spinner N comes to rest at is subtracted from the number at which the dial on spinner H comes to rest. Complete the probability distribution, expressing your final answers as reduced fractions (8 points). H 2 2 3 X P(X ) 6) In a randomly chosen "Halloween size" package of Peanut M & Ms, you'll find 8 candies. In the manufacturing process, 15% of the candies are green. Use this information and the fact that this problem situation meets all the criteria of a binomial distribution to find the probability of getting at least 3 green M & Ms in one of these randomly chosen "Halloween size" packages (8 points)