Let X be a discrete random variable that can assume the values -1, 0,1,2,3,4 with the probabilities 1/6, 1/12, 1/6, 1/4, 1/12, 1/4. Find the probability densities of the following random variables:(adsbygoogle = window.adsbygoogle || []).push({});

a) Z= X^2 + 1

h(y)= f(g^-1(y))

Attempted Solution

X= -1 0 1 2 3 4

Z= 2 1 2 5 10 17

How do i find Pr(Z)?

The book gave an answer of

1/12 Z=1,10

1/4 Z= 5,17

1/3 Z=2

0 elsewhere.

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# Discrete Random Variable

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