# How do you use the z-score to determine P(0<z<0.94)?

Feb 10, 2018

$P \left(0 < Z < 0.94\right) = 0.3264$

#### Explanation:

$P \left(0 < Z < 0.94\right) = P \left(Z < 0.94\right) - P \left(Z < 0\right)$

from tables we have

$P \left(0 < Z < 0.94\right) = 0.8264 - 0.5$

$P \left(0 < Z < 0.94\right) = 0.3264$

Feb 10, 2018

Here's another way to do it.

#### Explanation:

Use the normal cumulative distribution function on your graphing calculator.

You're trying to find the probability of getting a value in between $0$ and $0.94$, and for a $z$-score distribution, the mean is $0$ and the standard deviation is $1$. Enter these numbers into your calculator:

$\text{normalcdf} \left(0 , 0.94 , 0 , 1\right) \approx 0.3264$