5 Let X be a continuous random variable with cumulative distribution function x<1 VI – 1 1<1< 27 x > 27. Fx(x) =

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c and d please

5 Let X be a continuous random variable with cumulative distribution function
x <1
VI- 1
Fx (r) =
1<* < 27
a > 27.
2
Consider a second random variable described by Y = VX.
(a) Determine the mean and median of X.
(b) What interval do samples of Y lie in?
(c) Determine P(Y < y) for y lying in this interval.
(d) Thus, specify Fy(y) in full and conclude what family of continuous distributions Y belongs
to.
Transcribed Image Text:5 Let X be a continuous random variable with cumulative distribution function x <1 VI- 1 Fx (r) = 1<* < 27 a > 27. 2 Consider a second random variable described by Y = VX. (a) Determine the mean and median of X. (b) What interval do samples of Y lie in? (c) Determine P(Y < y) for y lying in this interval. (d) Thus, specify Fy(y) in full and conclude what family of continuous distributions Y belongs to.
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