Match List I (Standard Normal Variate) with List II (Probability).

List I

i.-1 <= Z <= +1

ii.-1 <= Z <= +2

iii.-inf < Z <= 0

iv.-inf < Z <= -1

List II

a.~ 0.5

b.~ 0.16

c.~ 0.68

d.~ 0.82

Ai-a, ii-b, iii-c, iv-d

Bi-b, ii-c, iii-d, iv-a

Ci-c, ii-d, iii-a, iv-b ✓ Correct

Di-c, ii-b, iii-a, iv-d

Correct answer: (C) i-c, ii-d, iii-a, iv-b

Explanation

The band -1 to +1 covers about 0.68 probability, matching i with c.

The band -1 to +2 covers about 0.82, matching ii with d.

The area from minus infinity to zero is exactly half, about 0.5, matching iii with a.

The area from minus infinity to -1 is about 0.16, matching iv with b.

Options that assign 0.68 to the wider bands misread the standard normal areas.

The empirical rule places roughly 95 percent of a normal distribution within two standard deviations of the mean.

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