# For the standard normal distribution, find the following probabilities. (a) Pr(0 leq Z leq 2.5)

Normal distributions
For the standard normal distribution, find the following probabilities.
(a) $$Pr(0 \leq Z \leq 2.5)$$

2021-01-29

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.