Challenger disaster On January 28, 1986, Space Shuttle

Chapter 7, Problem 7.85

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Challenger disaster On January 28, 1986, Space Shuttle Challenger exploded on takeoff . All seven crew members were killed. Following the disaster, scientists and statisticians helped analyze what went wrong. Th ey determined that the failure of o-ring joints in the shuttles booster rockets was to blame. Under the cold conditions that day, experts estimated that the probability that an individual o-ring joint would function properly was 0.977. But there were six of these o-ring joints, and all six had to function properly for the shuttle to launch safely. Assuming that o-ring joints succeed or fail independently, fi nd the probability that the shuttle would launch safely under similar conditions. Show your work.

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