Question: Based on the data collected from 23 flights, what is the probability of at least one O-ring failing, regardless of temperature? (Note: This probability is called an experimental probability because it’s based on only 23 flights, which is a fairly small number of events. To get a better approximation of the actual probability, we would need data from many more flights. Note also that even though there was O-ring failure on seven flights, all of those shuttles returned safely.) Question: Determine the conditional probability P(O-ring failure|temperature of 65°F or lower). Question: Determine P(O-ring failure | temperature is greater than 65°F). Question: Determine whether O-ring failure is independent of the temperature being 65°F or lower. Question: Analysis showed that the lower the temperature, the longer the O-rings would be separated from the joint, allowing dangerous gases to escape. The temperature at the launch of the Challenger shuttle was approximately 31°F, about 20°F colder than during any previous shuttle launch. Would you have recommended the Challenger be launched on that ill-fated day? Give reasons for your answer.