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
Answer & explanation
Correct answer: option 4
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: $Z=0.25$