Consider the probability \(P(0 < z < 2.5)\),

The probability that the z lies between 0 and 2.5 is equal to the area that lies under the curve from 0 and 2.5.

To find the probability look in the column headed by z for the value of 2.5 in appendix C.

In the column headed by A across 2.5 the corresponding value is 0.4938.

Thus the probability \(P(0 < z < 2.5)\) is A_{2.5}.

So the value of A_{2.5} from the appendix is 0.4938.

Hence the value of \(P(0 \leq z \leq 2.5)\) is 0.4938.

The probability that the z lies between 0 and 2.5 is equal to the area that lies under the curve from 0 and 2.5.

To find the probability look in the column headed by z for the value of 2.5 in appendix C.

In the column headed by A across 2.5 the corresponding value is 0.4938.

Thus the probability \(P(0 < z < 2.5)\) is A_{2.5}.

So the value of A_{2.5} from the appendix is 0.4938.

Hence the value of \(P(0 \leq z \leq 2.5)\) is 0.4938.