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
The standard normal variable is \(Z = \frac{X - \mu}{\sigma}\), with \(\mu = 16\) and \(\sigma = 4\):
\( \displaystyle Z = \frac{17 - 16}{4} = \frac{1}{4} = 0.25 \)
Z is positive because 17 lies above the mean.
CBSE Applied Mathematics (Class XII):
Z-Score of Normal Distribution
