7. Hardness of water from two different water treatment facilities is investigated. Six samples of water hardness (in ppm) are observed from faucets of each water treatment facility. It is known that water hardness from first facility follow normal distribution N(μ₁,02 = 5) and water hardness from the second facility follow normal distribution N (μ₂, 02 = 25). What is the probability that the ratio of sample variance between the two facilities greater than 1, i.e. Pr($¹ > 1) S²

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