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Let X be a random variable and Y = 2X + 1. What is the variance of Y if variance of X is 5? - Business Mathematics and Statistics

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प्रश्न

Let X be a random variable and Y = 2X + 1. What is the variance of Y if variance of X is 5?

योग

उत्तर

Var(X) = 5

Var(Y) = var(2x + 1)  .......{∴ v(ax + b) = a2v(x)}

= (2)2var(X)

= 4(5)

Var() = 20

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Mathematical Expectation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Random Variable and Mathematical expectation - Exercise 6.2 [पृष्ठ १४१]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 6 Random Variable and Mathematical expectation
Exercise 6.2 | Q 15 | पृष्ठ १४१

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