Question
After responding to a distress call from the planet Xudar in space sector 2813, a group of Green Lanterns spot 6 suspected criminals fleeing the
After responding to a distress call from the planet Xudar in space sector 2813, a group of Green Lanterns spot 6 suspected criminals fleeing the planet in different directions. The Lanterns give chase in pairs, with each pair having an equal probability of apprehending their suspect of 0.71. Use this information to answer the following question.
1. What is the probability that the Green Lanterns apprehend all 6 subjects? Round your answers to the third decimal place.
2. What is the probability that all of the subjects escape? Round your answers to the third decimal place.
3. What is the probability that the Green Lanterns apprehend between 2 and 4 suspects, inclusive? Round your answers to the third decimal place.
4.What is expected value for the number of suspects apprehended? Round your answers to the second decimal place.
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