Let X and Y have a bivariate normal distribution with parameters 1 = 5, 2

Let X and Y have a bivariate normal distribution with parameters μ₁ = 5, μ₂ = 10, σ²₁ = 1, σ²₂ = 25, and ρ > 0. If P(4 < Y < 16|X = 5) = 0.954, determine ρ.