I need solve this question of Statistics and probability

QUESTION 29 If two events A and B with P(A) = 0.35, P(B) = 0.40 and P(A and B) = 0.14 then, A and B are independent collectively exhaustive dependent mutually exclusive QUESTION 30 A factory manager collected data on the number of equipement breakdowns per day. From those data, she derived the probability distribution shown in the table below. X 0 1 2 P(X=x) 0.83 0.1 0.07 Find the mean and standard deviation of the number of equipement breakdowns per day. Round your answer to two decimal places. QUESTION 31 A coin is flipped and a die is rolled. The sample space of this random experiment is S=(HT,12,34,56} S=(H,T, 1,2,3,4,5,6) S=(H1,H2,H3,H4,H5,H6, T1, T2, T3, T4, T5, T6} S=(HT) QUESTION 32 While Team A plays in a tournament with a probability of win 39.18%, Team B plays in a different tournament with a probability of win 23. 17%. We assume that the tournaments are independent. Find the probability that neither team wins. Round your answer to four decimal places. QUESTION 33 Consider two events A and B from the same sample space S. Which of the following statements is not true: a) If A and B are collectively exclusive events, then A UB = S b) If A and B are independent, then p(A [B) =1-P(A) C) Ang and B nA are not mutually exclusive events. d) If A and B are mutually exclusive events, then P(A or B)=P(A)+P(B). a c ) d) b)