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If a 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 'D'.can you explain this answer?
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If a variance of a random variable x is 23 ,then what is the variance ...
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If a variance of a random variable x is 23 ,then what is the variance ...
Solution:
Given that variance of random variable x is 23.
We need to find the variance of 2x + 10.
Let Y = 2X + 10
To find the variance of Y, we need to use the following formula:
Var(Y) = Var(2X + 10)
= Var(2X) + Var(10) + 2Cov(2X, 10)
= 4Var(X) + 0 + 2(2)(Cov(X, 1))
= 4Var(X) + 4Cov(X, 1)
= 4Var(X) + 4(E[X - E[X]])(E[1 - E[1]])
= 4Var(X)
= 4(23)
= 92
Therefore, the variance of 2X + 10 is 92.
Answer: (d) 92
Given that variance of random variable x is 23.
We need to find the variance of 2x + 10.
Let Y = 2X + 10
To find the variance of Y, we need to use the following formula:
Var(Y) = Var(2X + 10)
= Var(2X) + Var(10) + 2Cov(2X, 10)
= 4Var(X) + 0 + 2(2)(Cov(X, 1))
= 4Var(X) + 4Cov(X, 1)
= 4Var(X) + 4(E[X - E[X]])(E[1 - E[1]])
= 4Var(X)
= 4(23)
= 92
Therefore, the variance of 2X + 10 is 92.
Answer: (d) 92
Community Answer
If a variance of a random variable x is 23 ,then what is the variance ...
Var(x) =23
var(2x+10) =2^2var x
var(2x+10) =4×23
var(2x+10) =92(ans)
var(2x+10) =2^2var x
var(2x+10) =4×23
var(2x+10) =92(ans)
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If a 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 'D'.can you explain this answer?
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If a 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 'D'.can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a 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 'D'.can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a 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 'D'.can you explain this answer?.
If a 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 'D'.can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a 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 'D'.can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a 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 'D'.can you explain this answer?.
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