Let E be the event that a new car requires engine work under warranty and let T be the event that the car requires transmission work under warranty. Suppose that P(E)=.07, P(T)=.08, P(E andT)=.05. a. Find the probability that the car need work on either the enginge, the transmission, or both.  b. Find the probability that the car needs no work on the engine.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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Let E be the event that a new car requires engine work under warranty and let T be the event that the car requires transmission work under warranty. Suppose that P(E)=.07, P(T)=.08, P(E andT)=.05.

a. Find the probability that the car need work on either the enginge, the transmission, or both. 

b. Find the probability that the car needs no work on the engine. 

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