Determine the probability that (a) Both engines on a small airplane fail, given that each engine fails with probability 0.05 and that an engine is twice as likely to fail when it is the only engine working. (b) An automobile is recalled for brake failure and has steering problems, given that 15 percent of that model were recalled for brake failure and 2 percent had steering problems. (c) A citizen fi les his or her tax return and cheats on it, given that 70 percent of all citizens fi le returns and 25 percent of those who fi le cheat.
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