pproximately one-third of all human twins are identical (one-egg) and two thirds are fraternal (two-egg) twins. Identical twins are necessarily the same sex, with female and male being equally likely. Among fraternal twins, approximately one-fourth are both female, one-fourth are both male, and half are one female and one male. Finally, among all births in the United States, approximately 15 in 1000 are twin births. A = {a U.S. birth results in twin females} B = {a U.S. birth results in identical twins} C = {a U.S. birth results in twins} Find P(A ∩ C). Compare P(A ∩ C) with P(A)*P(C) Is the event pairwise independent

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Approximately one-third of all human twins are identical (one-egg) and two thirds are fraternal (two-egg) twins. Identical twins are necessarily the same sex, with female and male being equally likely. Among fraternal twins, approximately one-fourth are both female, one-fourth are both male, and half are one female and one male. Finally, among all births in the
United States, approximately 15 in 1000 are twin births.

= {a U.S. birth results in twin females}

B = {a U.S. birth results in identical twins}

C = {a U.S. birth results in twins}

  1. Find P(A ∩ C).
  2. Compare P(A ∩ C) with P(A)*P(C)
  3. Is the event pairwise independent?

 

 

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