Problem 3.63. A person playing darts hits a bullseye 20% of the time on the average. Why is the probability of b bullseyes in N attempts a binomial distribution? What are the values of p and q? Find the probability that the person hits a bullseye (a) once in five throws; (b) twice in ten throws. Why are these probabilities not identical?

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Statistical Physics P3.63 Please supply all necessary solutions, thank you!
Problem 3.63. A person playing darts hits a bullseye 20% of the time on the average. Why is
the probability of b bullseyes in N attempts a binomial distribution? What are the values of p and
q? Find the probability that the person hits a bullseye (a) once in five throws; (b) twice in ten
throws. Why are these probabilities not identical?
Transcribed Image Text:Problem 3.63. A person playing darts hits a bullseye 20% of the time on the average. Why is the probability of b bullseyes in N attempts a binomial distribution? What are the values of p and q? Find the probability that the person hits a bullseye (a) once in five throws; (b) twice in ten throws. Why are these probabilities not identical?
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