Question: 4. The hard drive in my computer keeps breaking. I have investigated the quality control process at the manufacturer's company and I discovered the testing

4. The hard drive in my computer keeps breaking. I have investigated the quality control process at the manufacturer's company and I discovered the testing procedure. Drives are packaged in bulk boxes containing exactly 25 drives. The quality control procedure is performed three times in succession by three different inspectors. For each procedure a drive is selected at random from the box and tested and then placed back into the box. If a defective drive is found in one of the tests the entire box is sent back immediately and the batch is rejected. The box is shipped only if the inspectors found nothing wrong with the drives analyzed. (a) Find the probability that a box containing 5 defective items passes the inspection. (b) What is the probability that a box with one bad hard drive is rejected?Now suppose that the company changes its policy by having only one inspector selecting a sample of 3 drives randomly from the box and tested instead of the three previous procedures. If any defective item is found, the entire box is rejected. (c) Find the probability that a box containing 5 defective items passes the inspection in this case. d What is the )robabilit that a box with one bad hard drive is I 3/ rejected

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