Question: Assume that the random variable Z is described by a standard normal curve fZ(z). For what values of z are the following statements true? (a)

Assume that the random variable Z is described by a standard normal curve fZ(z). For what values of z are the following statements true?

(a) P(Z ≤ z) = 0.33

(b) P(Z ≥ z) = 0.2236

(c) P(−1.00 ≤ Z ≤ z) = 0.5004

(d) P(−z < Z < z) = 0.80

(e) P(z ≤ Z ≤ 2.03) = 0.15

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