3. Burj Khalifa, located in Dubai, United Arab Emirates, is the tallest building in world with…

3. Burj Khalifa, located in Dubai, United Arab Emirates, is the tallest building in world with a total height of 829.8 m. In 2004, when engineers started to build this tower, 1,000 concrete samples were tested to measure the quality of the materials during the construction. For this purpose, they used a new concrete testing machine. If the concrete sample has a problem, the test will show positive 99% of the time. Also, 1 out of 1,000 samples actually is imperfect. If a sample does not have a problem, the result will show positive 2% of the time. For a randomly tested sample that tests positive, estimate the probability that the sample has the problem.