Arrange the probabilities corresponding to the standard normal variate 'z' lying in the following intervals in increasing order. Choose the correct answer from the options given below.

1.Minus infinity to +1

2.0 to +3

3.-1 to +1

4.Z greater than or equal to +1

A4, 2, 3, 1 ✓ Correct

B3, 2, 4, 1

C1, 3, 2, 4

D2, 4, 1, 3

Correct answer: (A) 4, 2, 3, 1

Explanation

In increasing probability the order is z at least plus 1, then 0 to plus 3, then minus 1 to plus 1, then minus infinity to plus 1, giving 4, 2, 3, 1.

The area for z greater than or equal to plus 1 is about 0.159, the smallest here.

The area from 0 to plus 3 is about 0.499.

The symmetric area from minus 1 to plus 1 is about 0.683.

The area from minus infinity to plus 1 is about 0.841, the largest.

These follow from the standard normal empirical rule around the mean.

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