Allied & ICAR Exam Bank • ALLIED_2749 MSQ • 2 Marks

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Poisson, normal and binomial distributions

Question Statement:

Which of the following statements are TRUE for a standard normal distribution $Z \sim N(0, 1)$?

Options:

  • (A) The distribution is symmetric about $z = 0$
  • (B) Mean, median, and mode are all equal to $0$
  • (C) Approximately $68.3\%$ of values lie within $[-1, 1]$
  • (D) Approximately $95.4\%$ of values lie within $[-2, 2]$

Answer Key:

A, B, C, D

Step-by-Step Solution & Explanation

All four statements reflect fundamental properties of the normal Gaussian distribution.
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