Question
Suppose you roll a fair six-sided die n times. Let X be the number of times you roll a 5 and let Y be the
Suppose you roll a fair six-sided die n times. Let X be the number of times you roll a 5 and let Y be the number of times you roll 6.
(a) Calculate Var(X + Y ). Hint: (X + Y ) Binomial(n, p = 2/6 ) and the variance of a Binomially distributed random variable is np(1 p).
(b) Hence find Cov(X, Y ).
(c) Now calculate the correlation (X, Y ) and comment on the result.
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Transportation A Global Supply Chain Perspective
Authors: John J. Coyle, Robert A. Novak, Brian Gibson, Edward J. Bard
8th edition
978-1133592969
