Allied & ICAR Exam Bank • ALLIED_2748 NAT • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

If $X \sim N(\mu = 50, \sigma = 5)$, the standardized $z$-score corresponding to $x = 60$ is:

Answer Key:

2

Step-by-Step Solution & Explanation

$z = \frac{x - \mu}{\sigma} = \frac{60 - 50}{5} = \frac{10}{5} = 2$.
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