Suppose X is normally distributed with mean -3 and variance 0.25. Determine the value of c such that
(a) P(X ≤ c) = 0.8
(b) P(|X| > c) = 0.1
(c) P(−c < X ≤ 1) = 0.5
(d) P(|x + 2|≤ c) = 0.99
(e) P(|x−µ| < c) = 0.95
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