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.

Question content area bottom

Part 1

In criminal trial by jury, suppose the probability the defendant is convicted, given guilt, is

0.97,

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

0.97.

Suppose that

91%

of all defendants truly are guilty. Given that the defendant is convicted, find the probability he or she was actually innocent.

The probability is

enter your response here.

(Type an integer or a decimal. Round to the nearest thousandth as needed.)

Part 2

b. Repeat part a, but under the assumption that

50%

of all defendants truly are guilty.

The probability is

enter your response here.

(Type an integer or a decimal. Round to the nearest thousandth as needed.)

Part 3

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

90%

of all defendants truly are guilty. Given that the defendant is convicted, find the probability he or she was actually innocent.

The probability is

enter your response here.

(Type an integer or a decimal. Round to the nearest thousandth as needed.)

More