Question: Two genes' expression values follow a bivariate normal distribution. Let X and Y denote their expression values respectively. Also assume that X has mean 9

Two genes' expression values follow a bivariate normal distribution. Let X and Y denote their expression values respectively. Also assume that X has mean 9 and variance 3; Y has mean 10 and variance 5; and the covariance between X and Y is 2. In a trial, 50 independent measurements of the expression values of the two genes are collected, and denoted as ((X1,Y1),.........(X50,Y50). We wish to find the probability P(X+0.5

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