Find the area under the standard normal distribution curve to the left of z=-2.15 and to the right of z=1.62

Question

Sloane

Mathematics

28 August, 15:23

Find the area under the standard normal distribution curve to the left of z=-2.15 and to the right of z=1.62

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Answers (1)

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Cassis · Answer 1

The area under the standard normal distribution represents probability from 0 to 1.

So, what's being asked, in essence, is what is P (Z ≤ - 2.15) and P (Z ≥ 1.62).

P (Z ≤ - 2.15) = 1 - P (Z ≤ 2.15) = 1 - 0.9842 = 0.0158.

P (Z ≥ 1.62) = 1 - P (Z ≤ 1.62) = 1 - 0.9474 = 0.0526