In a criminal trial in the United States, it must be proven that a defendant is guilty beyond a reasonable doubt. In a civil trial, it must only be proven by a preponderance of the evidence that a defendant is guilty. Complete parts a through c below. a. In a criminal trial by jury, suppose the probability the defendant is convicted, given guilt, is 0.84, and the probability the defendant is acquitted, given innocence, is 0.84. Suppose that 94% of all defendants truly are guilty. Given that the defendant is convicted, find the probability he or she was actually innocent. The probability is 0.012. (Type an integer or a decimal. Round to the nearest thousandth as needed.) b. Repeat part a, but under the assumption that 50% of all defendants truly are guilty. The probability is 0.160 (Type an integer or a decimal. Round to the nearest thousandth as needed.) c. In a civil trial, suppose the probability the defendant is convicted, given guilt, is 0.98, and the probability the defendant is acquitted, given innocence, is 0.77. Suppose that 85% of all defendants truly are guilty. Given that the defendant is convicted, find the probability he or she was actually innocent. The probability is (Type an integer or a decimal. Round to the nearest thousandth as needed.)