If X ~ N(5,16), then the first quartile of X is equal to:
2.3
For a normal distribution with mean 5 and variance 16 (standard deviation 4), the first quartile (Q1) corresponds to the z-score of -0.6745. Using the formula:
Q1 = μ + z × σ
Q1 = 5 + (-0.6745 × 4) = 5 - 2.698 ≈ 2.3.
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