CA Foundation Exam > CA Foundation Questions > If variance of a random variable x is 23, the...
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If variance of a random variable x is 23, then what is the variance of 2x+10?
- a)56
- b)33
- c)46
- d)92
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If variance of a random variable x is 23, then what is the variance of...
Solution:
Given, Variance of a random variable x is 23.
We need to find the variance of 2x + 10.
Step 1: Find the mean of 2x + 10.
Mean of 2x + 10 = 2(mean of x) + 10
As we do not know the mean of x, we cannot find the exact mean of 2x + 10.
Step 2: Find the variance of 2x + 10.
Variance of 2x + 10 = Variance of 2x
= 4(Variance of x)
= 4(23)
= 92
Therefore, the variance of 2x + 10 is 92.
Answer: Option D (92)
Given, Variance of a random variable x is 23.
We need to find the variance of 2x + 10.
Step 1: Find the mean of 2x + 10.
Mean of 2x + 10 = 2(mean of x) + 10
As we do not know the mean of x, we cannot find the exact mean of 2x + 10.
Step 2: Find the variance of 2x + 10.
Variance of 2x + 10 = Variance of 2x
= 4(Variance of x)
= 4(23)
= 92
Therefore, the variance of 2x + 10 is 92.
Answer: Option D (92)
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Community Answer
If variance of a random variable x is 23, then what is the variance of...
6(y)=a×6(x)
v(y)=a^2v(x)
=2^2(23)
=4(23)
=92
v(y)=a^2v(x)
=2^2(23)
=4(23)
=92
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If variance of a random variable x is 23, then what is the variance of 2x+10?a)56b)33c)46d)92Correct answer is option 'D'. Can you explain this answer?
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