Please use the excel format to answer the question.

Question 2: (6 points) One six-sided biased die [X] A biased die [X] has the following probability distribution: 1 2 3 0.1 4 0.1 5 0.1 6 0.2 P(x) 0.2 0.3 What are the mean, variance, and standard deviation of one die (x) tossing both for a. and b. below: a. Calculate the theoretical values of mean, variance, and standard deviation of one die tossing and show the detailed results. (use calculator only] b. Also, simulate the die tossing experiment for 25 tossings and calculate mean, variance, standard deviation. Use only the random numbers provided. A E B D D Homework-3: Q2 Simulation 1 2 3 4 Prob. Cum Prot R# Dice # 1 5 2 6 AWN 3 7 4 5 8 6 9 10 11 12 13 Trial Dice # R# 1 1 14 2 1 15 AWN 3 9 4 4 5 3 6 7 16 17 18 19 20 21 4 7/8 3 a 9 9 9 8 22 10 A B D 9 11 12 3 13 9 14 7 15 1 16 1 17 1 18 8 19 2 7 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 7 6 0 8 8 24 25 = E(X) = Var(x) = Std(X) = =