The are five boxes each with 10 balls in it. The first box has 1 defective ball, the second one has two, the third one has three, and so on. A random experiment consists of selecting a box randomly and taking a ball from it. (a) If each box is equally likely to be selected, what is the probability of getting a nondefective ball? (b) If box i has probability i/15 to be selected, what is the probability of getting a defective ball? (c) in connection with the previous problem, if the ball is found to be defective, what is the prob￾ability it came from box 3?

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The are five boxes each with 10 balls in it. The first box has 1 defective ball, the second one has two, the third one has three, and so on. A random experiment consists of selecting a box randomly and taking a ball from it. (a) If each box is equally likely to be selected, what is the probability of getting a nondefective ball? (b) If box i has probability i/15 to be selected, what is the probability of getting a defective ball? (c) in connection with the previous problem, if the ball is found to be defective, what is the prob￾ability it came from box 3?
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