8. Let X and Y be the means of two independent random samples, each of size n, from the respective distributions N (₁, ²) and N(μ₂,02), where the common variance is known. What is the value of n rounded to the closest integer so that P(X-Y-0/4 < µ₁ −µ₂ < X −Ỹ + σ/4) = 0.90? a) 85 b) 87 c) 89 d) 173 e) 175 f) 53 g) 55

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