Answers:
(a)
[tex]P(A\cup B)=P(A) + P(B) - P(A\cap B)= 0.72 + 0.28 - 0.14= 0.86[/tex]
(b)
[tex]P(A^C)=1-P(A)=1-0.72=0.28[/tex]
(c)
[tex]P(B^C)=1-P(B)=1-0.28 = 0.72\\[/tex]
(d)
[tex]P(A^C\cap B^C)=P((A\cup B)^C)=1-P(A\cup B)= 1-0.86=0.14[/tex]
(e)
[tex]P(A\cap B^C)=P(A)-P(A\cap B)=0.72-0.14=0.58[/tex]
(f)
[tex]P(A^C\cap B)=P(B)-P(A\cap B)=0.28-0.14 = 0.14[/tex]
