Question

d. class 4: $mu = 80$ and $sigma = 20$ 12. find the $x$ value corresponding to $z = 0.75$ for each of the following distributions. a. $mu = 90$ and $sigma = 4$

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{X - \mu}{\sigma}$, and we need to solve for $X$. Rearranging the formula gives $X=\mu+z\sigma$.

Step2: Substitute given values

We are given $\mu = 90$, $\sigma = 4$, and $z = 0.75$. Substitute these values into the formula $X=\mu+z\sigma$. So $X=90 + 0.75\times4$.

Step3: Perform the calculation

First, calculate $0.75\times4 = 3$. Then, $X=90 + 3=93$.

Answer:

93