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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


  1. 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




  2. 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




  3. 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




  4. 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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