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Let 1 2 X , X be two independent normal random variables with means  and standard
deviations  respectively. Consider Then,
  • a)
    Y is normal distributed with mean 0 and variance 1
  • b)
    Y is normally distributed with mean 0 and variance 5
  • c)
    Y has mean 0 and variance 5, but is NOT normally distributed
  • d)
    Y has mean 0 and variance 1, but is NOT normally distributed
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let 1 2 X , X be two independent normal random variables with means an...

X1 and X2 are two independent random variables

Since X1 and X2 are independent variables
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Let 1 2 X , X be two independent normal random variables with means and standarddeviations respectively. ConsiderThen,a)Y is normal distributed with mean 0 and variance 1b)Y is normally distributed with mean 0 and variance 5c)Y has mean 0 and variance 5, but is NOT normally distributedd)Y has mean 0 and variance 1, but is NOT normally distributedCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Let 1 2 X , X be two independent normal random variables with means and standarddeviations respectively. ConsiderThen,a)Y is normal distributed with mean 0 and variance 1b)Y is normally distributed with mean 0 and variance 5c)Y has mean 0 and variance 5, but is NOT normally distributedd)Y has mean 0 and variance 1, but is NOT normally distributedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let 1 2 X , X be two independent normal random variables with means and standarddeviations respectively. ConsiderThen,a)Y is normal distributed with mean 0 and variance 1b)Y is normally distributed with mean 0 and variance 5c)Y has mean 0 and variance 5, but is NOT normally distributedd)Y has mean 0 and variance 1, but is NOT normally distributedCorrect answer is option 'B'. Can you explain this answer?.
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