In order to test a dice for fairness, it is thrown repeatedly until a 6 appears. How many throws will you need in order to start suspecting that the dice is probably biased? (So, how many throws will you need with no 6 till you will start believing that there is a problem with the dice?
1
Expert's answer
2012-02-23T10:33:39-0500
Let's assume that normal dice has uniformly distributed sides appearance, i.e. P(1) = P(2) = P(3) = P(4) = P(5) = P(6) = 1/6, so the sequence n1, n2, n3, ... , nN of numbers of throws before 6 appearing should be uniformly distributed with expected value 1/6. We can use chi-square test to check the hypotesis that the dice isn't biased. The number of throws will depend on the chosen significance level and the dice - we need to throw a dice until the data will not convince us that the dice is biased.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment