Question

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. (Round your answer to four decimal places) 1. P(Z > 1.25) 2. P(0.7 < Z < 1.55) 3. P(0.55 < Z < 1.63)

Answer #1

1. P(Z > 1.25) = 1 - P(Z <= 1.25) = 1 - (1.25) = 1 - 0.8944 = 0.1056

[(.) is the cdf of N(0,1)]

2. P(0.7 < Z < 1.55) = P(Z < 1.55) - P(Z <= 0.7) = (1.55) - (0.7) = 0.9394 - 0.758 = 0.1814

3. P(0.55 < Z < 1.63) = P(Z < 1.63) - P(Z <= 0.55) = (1.63) - (0.55) = 0.9484 - 0.7088 = 0.2396

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