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 0.930?, and the probability the defendant is? acquitted, given? innocence, is 0.930

Suppose that 84?% 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.)

b. Repeat part? a, but under the assumption that 50?% of all defendants truly are guilty. The probability is ?

?(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 0.97?, and the probability the defendant is? acquitted, given? innocence, is 0.72. 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?