Let X be a variate taking values x1,x2,…,xn and Y be a variate taking values y1,y2,…,yn such that yi=6xi+3;i=1,2,…,n. If  Var⁡(Y)=30, σX=

Let X be a variate taking values x1,x2,,xn and Y be a variate taking values y1,y2,,yn such that yi=6xi+3;i=1,2,,n. If  Var(Y)=30, σX=

  1. A

    56

  2. B

    56

  3. C

    30

  4. D

    30

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    Solution:

    We have,

    yi=6xi+3;i=1,2,,nVar(Y)=36Var(X)30=36Var(X)Var(X)=56σX=56

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