I need solve this questions

QUESTION 21 The probability that an automobile needs an oil change is 36.26% and the probability that it needs a new oil filter is places. 53.77%. Find the probability that an automobile does not need an oil change. Round your answer to four decimal QUESTION 22 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 2 P(X=x) 0.75 0.15 0.1 Find the mean 0.35 and standard deviation 0.65 of the number of of equipement breakdowns per day. Round your answer to two decimal places. QUESTION 23 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) AnB 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). od) o b ) QUESTION 24 Determine which of the following is a valid discrete probability distribution 0 2 P(X=x) 0.2 0.75 0.05 0.02 D -1 2 3 P(X=x) 0.2 0.55 0.2 0.04 2 P(X=x) 0.04 0.75 0.11 0.1 5 7 P(X=x) 0.55 0.45 0.12 -0.12 QUESTION 25 The probability that a professor in statistic course will meet 0, 1 ,2, 3 students, during office hours, is given in the following table: 1 2 3 P(X=x) 2K 3k 4K Find the value of k so that the table above represents a valid discrete probability distribution