I'm having difficulties finding the variance and doing question 3b, c and d. What I've done so far is attached below. Please help me with this. Thank you

Question 3 [7 Marks] The number of days per year on which the temperature in Moorabbin falls below zero (call this number X has the followin_ distribution: a) Calculate the mean and variance of X. b) Calculate the mean and variance of the total number of days in 100 years on which the temperature falls below zero. c) State the approximate distribution for the total number of days in 100 years on which the temperature falls below zero. On what theoretical basis can this approximation be made? (1) In a 100 year period what are the approximate probabilities there will be i. more than 230 days on which temperature falls below zero. ii. between 200 and 230 such days. 3) a. X P(X=X) X. P(x) x2.P(x) 0.12 0 0 1 0.13 0.13 0.13 2 0.55 1.10 2.20 3 0.13 0.39 1.17 4 0.07 0.28 1.12 E = 1.90 4.62 Var (X) = E(X2) -E(X)2 = 4.62 - 1.90 = 2.72 Mean =