(since probability cannot be
negative) increasing from the point (y,F(y))=(0,0) to (y,F(y))=(2,1).
Specifically, F(y)=0.5y in the range (0,2). If y<0, F(y)=0 and if y>2,
F(y)=1.
(c)
Find the following:
P
(
Y
<0.8);
P
(
Y
≤0.8);
P
(0.5<
Y
<1.5) from
both
the
density function
and
the cumulative probability function and show
that your answers match whichever you use.
0
0.1
0.2
0.3
0.4
0.5
0.6
0
0.5
1
1.5
2
f(y)
y
Uniform density for random number
generation

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