Florida International University

Statistics I - STA 3111

Ms. Laura Reisert Instructor

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CHAPTER 3-B Review Problem

Probability Practice – Chapter Three
1.  P(A) = .40, P(B) = .65, P(B|A) = .32
     a)  P(A∩B)
     b)  P(A|B)
     c)  P(AᴜB)
     d)  Are events A and B independent?  Thoroughly justify your answer.
     e)  Are events A and B mutually exclusive?  Thoroughly justify your answer.
2.  P(A) = .75, P(B) = .60.  If A and B are independent events, find
     a)  P(A∩B)
     b)  P(A|B)
     c)  P(AᴜB)
3.  P(C) = .54, P(D) = .28.  If C and D are mutually exclusive, find
     a)  P(CᴜD)
     b)  P(D|C)

KEY:
1.  a) .128   b)  .197   c)  .922   d)  No, P(B) = .65 ≠ .32 P(B|A)   e)  No, P(A∩B) = .128 ≠ 0
2.  a)  .45     b)  .75     c)  .90