If the random variable X is normally distributed with mean 16 and standard deviation 4, then the standard normal variable Z corresponding to $X = 17$ is |
1.25 -1.25 -0.25 0.25 |
0.25 |
The correct answer is Option (4) → 0.25 Given: $X \sim N(\mu=16,\ \sigma=4)$ and $X=17$. Standardization: $Z=\frac{X-\mu}{\sigma}=\frac{17-16}{4}=\frac{1}{4}=0.25$. Answer: $Z=0.25$ |