The probability density function of a normal variable x is given by

CA Foundation · Quantitative Aptitude · MTP · September 2024
The probability density function of a normal variable x is given by
(A) A. f(x) = 1 / σ√(2π) e - (x-μ) 2 / 2σ 2 for – μ < x < μ.
(B) B. f(x) = 1 / σ√(2π) e - (x-μ) 2 / 2σ 2 for 0 < x < μ.
(C) C. f(x) = 1 / √(2π) e - (x-μ) 2 / 2σ 2 for – μ < x < μ.
(D) D. none of these.

Suggested Answer and Working Notes:

Correct Answer: Option (B)

B. f(x) = 1 / σ√(2π) e - (x-μ) 2 / 2σ 2 for 0 < x < μ.

Topics: Part-C: Statistics

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