How to do the linear transformation of a random variable - AP Statistics
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Question
Variable 
has a Poisson distribution with a mean of 
. What is the variance of Variable 
?
Variable
Answer
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.
Because
Therefore, since we are given the mean of 25, we can find its variance to also be 25.
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