4. (5) Plea bargaining (Chapter 8 -- pm. 9192) Before I read the book, I thought that a criminal justice system in which an individual who is innocent may choose to accept a plea bargain is awed and "unjus ". a) (2) Work through the example given by the author from the bottom of p.91 to the top of p.92 illustrating that plea bargaining can be efficient. Suppose that the punishment under a plea deal is p, while the punishment after conviction at trial is P, with P > p. b) (3) The example assumes that, with plea bargaining, an accused individual faces a 90% probability of conviction if he goes to trial. But the probability of conviction conditional on trial should depend on whether the accused is guilty or innocent. Assume instead that, with plea bargaining, the standard of proof at trial is such that an innocent accused faces a 5% probability of conviction while a guilty accused individual faces a 95% probability of conviction. Construct an example in which the relative magnitudes of the punishments from a plea deal and from going to court and being found guilty are such that an innocent accused may accept a plea bargain