Federal civil trial appeals. The Journal of the American Law and Economics Association (Vol. 3, 2001) published the results of a study of appeals of federal civil trials. The accompanying table, extracted from the article, gives a breakdown of 2,143 civil cases that were appealed by either the plaintiff or the defendant. The outcome of the appeal, as well as the type of trial (judge or jury), was determined for each civil case. Suppose one of the 2,143 cases is selected at random and both the outcome of the appeal and the type of trial are observed.

a. Find P(A), where A = 5jury trial6.

b. Find P(B), where B = 5plaintiff trial win is reversed6.

c. Are A and B mutually exclusive events?

d. Find P1Ac2.

e. Find P1A ∪ B2.

f. Find P1A ¨ B2.

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Jury Judge Totals Plaintiff trial win- reversed 194 71 265 Plaintiff trial win- affirmed/dismissed 429 240 669 Defendant trial win- reversed 111 68 179 Defendant trial win- affirmed/dismissed 731 299 1,030 Totals 1,465 678 2,143