Probability based on bivariate normal distribution

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Let X and Y be two related job performance measures for a population of specialized workers. Assume that a model for the joint distribution of these rvs is a bivariate normal distribution with μ1 = 5, μ2 = 10, σ12 = 1, σ22 = 25, and ρ = 4/5. (Here the subscript 1 refers to X and 2 refers to Y.) For a worker whose X score is exactly 5, find the probability that her Y score is between 7 and 19.

Reference no: EM1319638

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