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Can anyone plz tell me the ans of this question with solution.if the SD of x is 3, what is the variance of (5-2x)?
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Can anyone plz tell me the ans of this question with solution.if the S...
Var( x+y) = varX + varY Var(kx) = k^2 varX SD is 3 so variance is 9 Var(5-2x)= 4 varX = 4 *9 =36
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Can anyone plz tell me the ans of this question with solution.if the S...
Calculation of Variance of (5-2x) given SD of x is 3:
1. Formula for Variance:
Variance is the square of the standard deviation. It is calculated as the average of the squared differences from the mean.
2. Given Data:
- Standard Deviation of x = 3
3. Calculating Variance of (5-2x):
- Variance of (5-2x) = Variance of (-2x) as 5 is a constant
- Since variance is a measure of spread, multiplying a variable by a constant multiplies the variance by the square of that constant
- So, Variance of (-2x) = (-2)^2 * Variance of x
- Variance of x = SD of x^2 = 3^2 = 9
- Variance of (-2x) = (-2)^2 * 9 = 4 * 9 = 36
4. Result:
- The variance of (5-2x) is 36.
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Can anyone plz tell me the ans of this question with solution.if the SD of x is 3, what is the variance of (5-2x)?
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