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Probability of accepting the lot

A lot, consisting of 150 fuses, is inspected by the following procedure. Five fuses are chosen at random and tested; if all 10 blow at the correct amperage, the lot is accepted. Suppose that the lot contains 15 defective fuses. If X is a random variable equal to the number of defective fuses in the sample of 10, find the probability of accepting the lot.

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A sample of 21 of 180 funded projects revealed that 19 were valued at $17,680 each and 2 were valued at $20,320 each. From the sample data, estimate the total value of the funding for all the projects. (Enter your answers to two decimal places.)