A breakdown of the 678 civil cases that were originally tried in front of a judge ( rather than a jury ) and appealed by either the plaintiff or defendant is reproduced in the next table . suppose each civil case is awarded points ( positive or negative) based on the out-come of the apeal for the purpose of evaluating federal judges . if the appeal is affirmed or dismissed , +5 points are awarded . if the apeal of a plaintiff trial win is reversed , -3 points are awarded . suppose one of the 678 cases is selected at random and the number , x, of points awarded is determined . find and graph the probability distribution for x

outcome of appeal number of cases

plaintiff trial win-reversed 71
plaintiff trial win-affirmed/dismissed 240

defendant trial win- reversed 68

defendant trial win - affirmed /dismissed 299

total 678