Question

Let ( X ) be a discrete random variable with the following probability mass function. [ P_{X}(x)=left{egin{array}{rrr} 0.1 & ext { for } & x=0.2 \ 0.2 & ext { for } & x=0.4 \ 0.2 & ext { for } & x=0.5 \ 0.3 & ext { for } & x=0.8 \ 0.2 & ext { for } & x=1 \ 0 & ext { Othwerise } end{array} ight. ] (a) Find ( R_{X} ), the range of the random variable ( X ). (b) Find ( P(X leq 0.5) ). (c) Find ( P(0.25<X<0.75) ). (d) Find ( P(0.2<X<0.6) ).

          Let ( X ) be a discrete random variable with the following probability mass function.
[
P_{X}(x)=left{egin{array}{rrr}
0.1 & 	ext { for } & x=0.2 \
0.2 & 	ext { for } & x=0.4 \
0.2 & 	ext { for } & x=0.5 \
0.3 & 	ext { for } & x=0.8 \
0.2 & 	ext { for } & x=1 \
0 & 	ext { Othwerise }
end{array}
ight.
]
(a) Find ( R_{X} ), the range of the random variable ( X ).
(b) Find ( P(X leq 0.5) ).
(c) Find ( P(0.25<X<0.75) ).
(d) Find ( P(0.2<X<0.6) ).