a)
"=0.2+0.3+0.2=0.7"
b)
"Pr(X<0)=0,"
"Pr(X\\leq0)=0.1,"
"Pr(X\\leq1)=0.1+0.1=0.2,"
"Pr(X\\leq2)= 0.2+0.2=0.4,"
"Pr(X\\leq3)= 0.4+0.3=0.7,"
"Pr(X\\leq4)= 0.7+0.2=0.9,"
"Pr(X\\leq5)=0.9+0.1=1"
"F(x) = \\begin{cases}\n 0 & x<0 \\\\\n 0.1 & 0\\leq x<1\n\\\\\n 0.2 & 1\\leq x<2\\\\\n 0.4 & 2\\leq x<3\\\\\n 0.7 & 3\\leq x<4\\\\\n 0.9 & 4\\leq x<5\n\\\\\n 1 & x\\geq5\n\\end{cases}"
c)
Each probability P(x) must be between 0 and 1
The sum of all the probabilities is 1
The P(x) represents the probability distribution of the random variable X.
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