Car repairs: Let E be the event that a new car requires engine work under warranty and let 7' be the event that the car requires transmission work under warranty. Suppose that P (E)-0.08, P(T)-0.1, P(E and 7)=0.03. (a) Find the probability that the car needs work on either the engine, the transmission, or both. (b) Find the probability that the car needs no work on the engine. Part 1 of 2 (a) Find the probability that the car needs work on either the engine, the transmission, or both. The probability that the car needs work on either the engine, the transmission, or both is 0.87 Part 2 of 2 (b) Find the probability that the car needs no work on the engine. The probability that the car needs no work on the engine is 0.13 X