QUESTION 1 Consider the following summary of sample data of size 10: 10 10 x = 1162, 2 x = 140992 i=1 i=1 a) Calculate the mean. QUESTION 2 Consider the following summary of sample data of size 10: 10 10 2x = 1162, 2 x = 140992 i=1 b) Calculate the standard deviation. (Round to the nearest ten-thousandth) QUESTION 3 Define A, B, and C to be three events and assume that: P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB) = 0.06, P(ANC) = 0.27, P(BNC) = 0.18, P(AnBnC) = 0.04 a) Compute P(AI BUC). (Round to the nearest ten-thousandth) QUESTION 4 Define A, B, and C to be three events and assume that: P(A) 0.30, P(B) = 0.20, P(C) = 0.90 = P(ANB) = 0.06, P(ANC) = 0.27, P(BNC) = 0.18, P(AnBnC) = 0.04 Yes No b) Are A, B, and C pairwise independent?