For a standard normal distribution, determine the following probabilities. a) P(z>1.41) b) P(z>−0.31) c) P(−1.81≤z≤−0.69) d)...

Question

Question

For a standard normal distribution, determine the following probabilities.

a) P(z>1.41)

b) P(z>−0.31)

c) P(−1.81≤z≤−0.69)

d) P(−1.80≤z≤0.20)

math Statistics-And-Probability

Answer 1

Answer #1

a) P(z > 1.41) = 1- P(z < 1.41) = 1-0.92073 = 0.07927

b) P(z > -0.3) = 1 - P(z <= -0. 3) = 1 - 0.38209 = 0.61791

c) P(−1.81 ≤ z ≤ −0.69) = P(z < -0.69) - P(z < -1.81) = 0.24510 - 0.03515 = 0.20995

d) P(−1.80 ≤ z ≤ 0.20) = P(z < 0.20) - P(z < -1.80) = 0.57926 - 0.03593 = 0.54333

Answer 2

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