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Given the following cumulative probability function: 0 x < -5 .10 -5 <= x < 0...

Given the following cumulative probability function:

0 x < -5
.10 -5 <= x < 0
.40 0 <= x < 5
F(x)= .50 5 <= x < 10
.75 10 <= x < 15
1.0 X >= 15

a. P( 0 <x<10)
b. P( 5<x<10)
c. P(x< 10)
d. P(x>5)
e. P(x=7)
f. Calculate f (x) and draw F (x) and F (x)
g. Calculate E (x)
h. Calculate the variance of X
i. Calculate the expected g (x) = 5x-2
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