The table to the right gives a breakdown of 2, 138 civil cases that were appeale

Question

The table to the right gives a breakdown of 2, 138 civil cases that were appealed. The outcome of the appeal, as well as the type of trial (judge or jury), was determined for each case. Suppose one of the cases is selected at random and the outcome of the appeal and type of trial are observed. a. Find the probability that the trial is a jury trial. The probability that the trial is a jury trial is b. Find the probability that a plaintiff win is affirmed/dismissed. The probability that a plaintiff win is affirmed/dismissed is c. Find the probability that the trial is a jury trial and a plaintiff win is affirmed/dismissed. The probability that the trial is a jury trial and a plaintiff win is affirmed/dismissed is d. Find the probability that the trial is a jury trial or a plaintiff win is affirmed/dismissed. The probability that the trial is a jury trial or a plaintiff win is affirmed/dismissed is

Explanation / Answer

a. Pr( JUry Trial) = 1458/2138 = 0.682

b. Pr(plantiff win affirmed/dismissed) = Total Plantiff win affirmed/ dismissed / Total plantiff win

= 649/ (649 + 280) = 0.699

c. Pr(JUry Trial and Plantiff affirmed/ dismissed) = 416/ 2138 = 0.195

d. Pr(Jury trial or  Plantiff affirmed/ dismissed) = Pr ( Jury Trial) + Pr( Plantiff affirmed/ dismissed) - Pr(JUry Trial and Plantiff affirmed/ dismissed)

= (1458 + 649 - 416)/ 2138 = 0.791

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