Question

Use the standard normal distribution to find P(-2.25 < z < 1.25)

Answer 1

Here we have to find the probability  P(-2.25<z<1.25) . Now express the probability in terms of standard normal cumulative distribution function. That is  \Phi(x)=P(z<x) .

P(-2.25<z<1.25)=\Phi(1.25)-\Phi(-2.25)

Now you can look up the probability from the standard normal tables. Its value is

P(-2.25<z<1.25)=\Phi(1.25)-\Phi(-2.25)\\ P(-2.25<z<1.25)=0.8821

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Answer 2

Here we have to find the probability $P(-2.25$. Now express the probability in terms of standard normal cumulative distribution function. That is $\Phi(x)=P(z$.

$P(-2.25$

Now you can look up the probability from the standard normal tables. Its value is

$P(-2.25$