If X is a normal variate with mean 16 and standard deviation 4, then the value of standard normal variate Z corresponding to X = 17 is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 0.25
The standard normal variate is
\( \displaystyle Z = \frac{X - \mu}{\sigma} = \frac{17 - 16}{4} = \frac{1}{4} = 0.25 \)
Z is positive because X = 17 lies above the mean.