Let X 1 , X 2, , X 10 be a sample from a N(25, 5 2 ) distribution, independent of the sample Y 1, Y 2, , Y 20 coming from a N(0, 10 2 ) distribution Standardize the following random variables a) X 1 25 b) (Y 1 Y 2 Y 3 ) 3

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Question: Let X 1 , X 2, ..., X 10 be a sample from a N(25, 5 2 ) distribution, independent of the sample Y 1,

Let X₁, X_{2, ...,} X₁₀ be a sample from a N(25, 5²) distribution, independent of the sample Y_1, Y_{2, ...,} Y₂₀ coming from a N(0, 10²) distribution.

Standardize the following random variables:

a) X₁- 25

b) (Y₁+Y₂+Y₃)/3

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