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N~ Poisson(X) and XIN~ Binomial(N, p). (1) Find var(E(XIN)), E[var(XIN)] and var(E(XIN)) + E[var(XIN)]. (2) Identify the distribution of X by finding its probability
N~ Poisson(X) and XIN~ Binomial(N, p). (1) Find var(E(XIN)), E[var(XIN)] and var(E(XIN)) + E[var(XIN)]. (2) Identify the distribution of X by finding its probability marginal function. (3) Check if var(X) = var(E(XIN)) + E[var(XIN)].
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In order to find varEXIN EvarXIN and varEXIN EvarXIN we need to first find EXIN and varXIN EXIN EEXN ...
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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook
Authors: Dean Chalmers, Julian Gilbey
1st Edition
1108407307, 978-1108407304
