Per §10.5, the area under the normal distribution curve between (μ - σ…

Question

Per §10.5, the area under the normal distribution curve between (μ - σ) and (μ + σ) is approximately:

Accepted Answer

A. {'text': 'About 68.26 percent of the total area', 'label': 'A'}

1. §10.5 (after Figure 10.2) states: 'The area under normal curve (or the probability of x lying) between μ - σ and μ + σ is 0.6826 of the whole or 68.26%. Similarly the area under the normal curve from μ - 2σ to μ + 2σ is 0.9544 of the whole, i.e. 95.44%.'
2. Both are the classical results for a Gaussian distribution.
_Source: IGNOU ET-522 Block-3 Unit-10 Concrete Mix Design, §10.5, p. 9_

Answer

{'text': 'About 50.0 percent of the total area', 'label': 'B'}

Answer

{'text': 'About 34.13 percent of the total area', 'label': 'C'}

Answer

{'text': 'About 95.44 percent of the total area', 'label': 'D'}