If X and Y are 2 independent normal variables with mean as 10 and 12 and Standard Deviation as 3 and 4 respectively, then (X + Y) is normally…

CA Foundation · Quantitative Aptitude · PYQS · September 2024
If X and Y are 2 independent normal variables with mean as 10 and 12 and Standard Deviation as 3 and 4 respectively, then (X + Y) is normally distributed with
(A) A. Mean = 22 and S.D. = 25
(B) B. Mean = 22 and S.D. = 7
(C) C. Mean = 22 and S.D. = 5
(D) D. Mean = 22 and S.D. = 49

Suggested Answer and Working Notes:

Correct Answer: Option (C)

C. Mean = 22 and S.D. = 5

Topics: Part-C: Statistics

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