In: Statistics and Probability
1. Amy tosses 12 biased coins. Each coin comes up heads with probability 0.2. What is the probability that fewer than 3 of the coins come up heads?
Answer: 0.5583
2. Amy shoots 27000 arrows at a target. Each arrow hits the target (independently) with probability 0.2. What is the probability that at most 2 of the first 15 arrows hit the target?
Answer: 0.398
3. Amy tosses 19 biased coins. Each coin comes up heads with probability 0.1. What is the probability that more than 1 of the coins come up heads?
Answer: 0.5797
4. Amy shoots 49000 arrows at a target. Each arrow hits the target (independently) with probability 0.2. What is the probability that fewer than 3 of the first 12 arrows hit the target?
Answer: 0.5583
5. Amy rolls 16 8-sided dice. What is the probability that fewer than 1 of the rolls are 1s?
Answer: 0.1181