Mathematics · Statistics & Probability Distributions
Consider the following statements about the Normal Probability Curve and its associated properties: (A) The area within μ ± 1.96σ covers exactly 95% of the total area under the curve. (B) The Mean Deviation about the mean for a Normal distribution is approximately 0.7979σ (or √2/π σ), not 0.7579σ. (C) The characteristic function of N(μ, σ2) is φ(t) = exp(iμt − σ2t2/2). (D) For the standard normal distribution Z, P(Z > 0) = P(Z < 0) = 0.5 exactly. Choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A, C and D only✓
- 2A, B and D only
- 3A, B, C and D
- 4B and C only
Correct answer
A, C and D only
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