AP Statistics : How to do the linear transformation of a random variable

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #1 : How To Do The Linear Transformation Of A Random Variable

      

       

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Correct answer:

         

Explanation:

         

Example Question #2 : How To Do The Linear Transformation Of A Random Variable

     

      

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Example Question #1 : How To Do The Linear Transformation Of A Random Variable

Variable  has a Poisson distribution with a mean of . What is the variance of Variable ?

Possible Answers:

Correct answer:

Explanation:

Because  has a Poisson distribution we know that:

 and

.

Therefore, since we are given the mean of 25, we can find its variance to also be 25.

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