Question: can anyone help with this question (a) Suppose that n, = 10 and n2 = 10 observations are made on two random vectors X, and

can anyone help with this question

can anyone help with this question (a) Suppose that n, = 10

(a) Suppose that n, = 10 and n2 = 10 observations are made on two random vectors X, and X2, where X,and X2 are assumed to have a bivariate normal distribution with a common covariance matrix E, but possibly different mean vectors u, and u2 for the two samples. The sample mean vectors and pooled covariance matrix are: X 1 = * 2 = ( Spooled = (0.25 0) 0 0.16 (i) Construct Fisher's (sample) linear discriminant function. [4 marks] (ii) Assign the observation Xo = to either population It, or It2 . Assume equal cost and equal prior probabilities. [4 marks]

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