Question
1. If a seed is planted, it has a 75% chance of growing into a healthy plant. If 8 seeds are planted, what is the
1. If a seed is planted, it has a 75% chance of growing into a healthy plant. If 8 seeds are planted, what is the probability that exactly 3 don't grow?
2. A poll is given, showing 40% are in favor of a new building project. If 5 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?
3. Suppose that 20% of all voters prefer Candidate A. If 10 people are chosen at random for a poll, what is the probability that exactly 4 of them favor Candidate A?
4. A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the probability that at least one will have a defect? (Do not convert to percent. Give your answer in decimal form, report at least 4 decimal places.)
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