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Given X∼N(12,16)X \sim N(12, 16)X∼N(12,16), find the value of kkk such that P(X<k)=0.9772P(X < k) = 0.9772P(X<k)=0.9772. Use Φ(2)≈0.9772\Phi(2) \approx 0.9772Φ(2)≈0.9772 where Φ\PhiΦ is the standard normal CDF.