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A wildlife study has found that a wolf pack is successful in killing one large animal for every 12 that it chases.
a) What is the probability that the first large animal killed is the 5th one chased?
b) What is the expected number of chases needed for the pack to have its first large animal kill?
c) The wolf pack needs to kill 3 large animals in order to feed the whole pack. What is the probability that it will need to chase 20 large animals to feed the pack?
d) What is the expected number of chases needed to be able to feed the pack?
In a sample of 55 mice, a biologist found that 42% were able to run a maze in 30 second or less. Find the 90% limit for the population proportion of mice who can run a maze in 30 second or less.
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