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10. [12 pts] After manufacture, computer disks are tested for errors. Let X be the number of errors detected on a randomly chosen disk. The following table presents values of the cumulative distribution function F(x) of X 12 34 F0.41 0.72 0.83 0.95 1 (a) Find the probability mass function (b) What is the probability that two or fewer error are detected? (c) What is the probability that exactly one error is detected? (d) How many errors would you expect to be detected?

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