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Mathematics
Mathematics
Problem
The discrete random variable
X
X
X
has the following probability distribution:
x
x
x
1
2
4
7
P
(
X
=
x
)
P(X = x)
P
(
X
=
x
)
k
k
k
2
k
2k
2
k
3
k
3k
3
k
4
k
4k
4
k
a. Find the value of
k
k
k
. b. Find the variance of
X
X
X
. c. Find the variance of
20
−
5
X
20 - 5X
20
−
5
X
.
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