Question: Let ? X ? N ( ? , ? 2 ) ? i.e: the PDF of ? X ? is ? f X ? (

Let ?X?N(?,?2)? i.e: the PDF of ?X? is

?fX?(x)=?2??1?exp(?2?2(x??)2?)?

Let ?Y=2X?

What is the PDF of the random value ?Y?in terms of ?y,?,??.

Let ? X ? N ( ? , ? 2 ) ? i.e: the PDF of ? X ?

Let X ~ N ( M, 62 ), i.e. the pdf of X is (x - 1 )2 fx ( x ) = exp OV2n 202 Let Y = 2X. Write down the pdf of the random variable Y. (Your answer should be in terms of y, o and M. Type mu for M, sigma for o.) fy ( y ) =

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