Question: 52. Suppose that random variable X is distributed as normal with parameters = 2 and 2 = 4. Find the value of x such

52. Suppose that random variable X is distributed as normal with parameters μ = 2 and

σ2 = 4. Find the value of x such that

(a) P(X ≤ x) = 0.05,

(b) P(X ≥ x) = 0.33.

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