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STAT 324 Sample midterm problems1. 1/7 of men and 1/9 of women are color-blind. 60% of population are females.(a) A person is chosen at random and that person is color-blind. What is the probability that theperson is male?(b) A person is chosen at random and that person is male. What is the probability that the personis color-blind?2. The life timeXof an electronic component follows the distributionf(x) =e-xforx >0 andf(x) = 0 otherwise.Three of these components operate independently in a piece of equipment.The equipment fails if at least two of the components fail. Find the probability that the equipmentwill operate for at least 2 hours without failure.