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

For the standard normal distribution, find the following probabilities.
(a) $Pr\left(0\le Z\le 2.5\right)$
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broliY

Consider the probability $P\left(0,
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\left(0 is ${A}_{2.5}$.
So the value of ${A}_{2.5}$ from the appendix is 0.4938.
Hence the value of $P\left(0\le z\le 2.5\right)$ is 0.4938.