Question 4 Let X be a uniform random variable with probability density function Px(x) = 0≤x≤2 0 elsewhere If for each outcome of X we compute a new outcome corresponding to a variable y using y(x) = _ logr for a > 0, what is the probability density of Y in terms of X? Note that log r is the natural logarithm of z. A. py (y) = -Aey, 0
Question 4 Let X be a uniform random variable with probability density function Px(x) = 0≤x≤2 0 elsewhere If for each outcome of X we compute a new outcome corresponding to a variable y using y(x) = _ logr for a > 0, what is the probability density of Y in terms of X? Note that log r is the natural logarithm of z. A. py (y) = -Aey, 0
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:Question 4
Let X be a uniform random variable with probability density function
Px(x) =
0≤x≤2
0 elsewhere
If for each outcome of X we compute a new outcome corresponding to a variable y using
log r
X
A. py(y) = − ¹ Ae¯\y, 0<y≤2
0<y≤2
B. py(y) = Xey,
C. py(y) = ½ λe¯\y,
D. py(y) = ey,
E. py(y) = e,
y(x) =
what is the probability density of Y in terms of X? Note that log z is the natural logarithm
of z.
for a > 0,
-log2≤y<+∞
-log2≤y<+∞
-\log 2 ≤y<+∞o
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