A) A container contains 15 diesel engines. The company chooses 7 engines at random, and will not ship the container if any of the engines chosen are defective. Find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 7.
B) Suppose that11% of a certain batch of calculators have a defective case, and that 17% have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
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