Question
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below.
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities
below. (Round your answers to four decimal places.)
(a) P(z < 2.39)
(b) P(z ≤ 2.39)
(c) P(z < −1.24)
(d) P(1.13 < z < 3.34)
(e) P(−0.78 ≤ z ≤ −0.53)
(f) P(z > 1)
(g) P(z ≥ −3.37)
(h) P(z < 4.97)
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(a) P(z < 2.39) = 0.9914
(b) P(z ≤ 2.39) = 0.9914
(c) P(z < −1.24) = 0.1093
(d) P(1.13 < z < 3.34) = 0.0819
(e) P(−0.78 ≤ z ≤ −0.53) = 0.1192
(f) P(z > 1) = 0.1587
(g) P(z ≥ −3.37) = 1 - P(z < -3.37) = 1 - 0.0004 = 0.9996
(h) P(z < 4.97) = 1
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