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The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be?
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The mean and standard deviation for a, b and 2 are 3 and 2/√3 respecti...
Calculation of ab
Mean and Standard Deviation of a, b and 2- Mean of a, b and 2 = 3
- Standard Deviation of a, b and 2 = 2/√3
Relationship between Mean and Variance- The mean of the product of two variables is the product of their means.
- Therefore, E(ab) = E(a) * E(b) = 3 * 3 = 9
Relationship between Standard Deviation and Variance- The variance of the product of two independent variables is the sum of the products of their variances.
- Therefore, Var(ab) = (Var(a) * (E(b))^2) + ((E(a))^2 * Var(b) + Var(a) * Var(b) = (2/√3)^2 * 3^2 + 3^2 * (2/√3)^2 + (2/√3)^2 * 2/√3 = 20
Calculation of ab- Since Var(ab) = E((ab)^2) - (E(ab))^2
- 20 = E((ab)^2) - 9^2
- E((ab)^2) = 20 + 81 = 101
- Therefore, ab = √101 ≈ 10.05
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The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be?
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The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be? 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 The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be?.
The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be? 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 The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean and standard deviation for a, b and 2 are 3 and 2/√3 respectively, the value of ab would be?.
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