Question: Let Z N(0, 1). Find a constant c for which a. P(Z c) = 0.1587 b. P(c Z 0) = 0.4772

Let Z ∼ N(0, 1). Find a constant c for which
a. P(Z ≥ c) = 0.1587
b. P(c ≤ Z ≤ 0) = 0.4772
c. P(−c ≤ Z ≤ c) = 0.8664
d. P(0 ≤ Z ≤ c) = 0.2967
e. P(|Z| ≥ c) = 0.1470

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