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Mathematics, 26.03.2020 22:22 20heldmadison

Let X and Y be the number of hours that a randomly selected person watches movies and sporting events, respectively, during a three-month period. The following information is known about X and Y: \quad{}\quad{}\begin{array}{rcl} E(X) & = & 50\\E(Y) & = & 20 \\ Var(X) & = & 50 \\ Var(Y) & = & 30 \\ Cov(X, Y) & = & 10 One hundred people are randomly selected and observed for these three months. Let T be the total number of hours that these one hundred people watch movies or sporting events during this three-month period. Approximate the value of P(T<7100).

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