Discrete Math Quiz
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DISCRETE PROBABILITY
Question 1
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Let
X
X
X
be a discrete random variable with
E
(
X
)
=
4
E(X) = 4
E
(
X
)
=
4
and
Var
(
X
)
=
9
\text{Var}(X) = 9
Var
(
X
)
=
9
. Define
Z
=
X
−
4
3
Z = \frac{X - 4}{3}
Z
=
3
X
−
4
. What is
E
(
Z
2
)
E(Z^2)
E
(
Z
2
)
?
A
E
(
Z
2
)
=
1
E(Z^2) = 1
E
(
Z
2
)
=
1
B
E
(
Z
2
)
=
4
3
E(Z^2) = \frac{4}{3}
E
(
Z
2
)
=
3
4
C
E
(
Z
2
)
=
25
9
E(Z^2) = \frac{25}{9}
E
(
Z
2
)
=
9
25
D
E
(
Z
2
)
=
16
9
E(Z^2) = \frac{16}{9}
E
(
Z
2
)
=
9
16
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