22. A garage purchases water pumps from three different vendors and tracks the number of defective units as shown in the table above. Let A denote the event \"the water pump was purchased from AJ's Place,\" M denote the event \"the water pump was purchased from Maloney's Shop,\" K denote the event \"the water pump was purchased from Karen's Store,\" and D denote the event \"the water pump was defective.\" Write your answers as percents and round to the nearest 10'h if necessary. Write your answer as decimals rounded to four decimal places if necessary. Vendor AJ's Place Maloney's Shop Karen's Store Percent Purchased 25 33 42 Percent Defective 7 1 1 8 (1 pt) (a) Find P(M) = (1 pt) (b) Find P(D | K) = (3 pts) (c) Find P(A ID) = (2 W) (b) P(D) = . 16 58 26 27 11 17 23.G1venP(A)=E,P(B)=m,P(C)=E,P(AUB)=E,P(B C)=E,P(AC)=m,and the fact that NO TWO events are mutually exclusive, find and Write your answers as a fraction. (2 pts) (a) P(A n B) (2 pts) (b) P(A U C) amm)