In class, we analyzed Buffon's needle experiment. We showed that if a large sheet of paper...
In class, we analyzed Buffon's needle experiment. We showed that if a large sheet of paper has parallel lines that are 1 inch apart, and we throw a needle of length 1/2 inch at it, the probability that the needle hits a line is l/r. We can estimate π by throwing many needles and seeing how many throws hit a line. Suppose we throw a needle n times, and each throw is independent. Let X be the number of throws...
4. In class, we analyzed Buffon's needle experiment. We showed that if a large sheet of paper has parallel lines that are 1 inch apart, and we throw a needle of length 1/2 inch at it, the probability that the needle hits a line is 1/ . We can estimate by throwing many needles and seeing how many throws hit a ine. Suppose we throw a needle n times, and each throw is independent. Let X be the number of...