Question:Durrett, 2009) Two masked robbers try to rob a crowded bank during
the lunch hour, but...
Question
Durrett, 2009) Two masked robbers try to rob a crowded bank during
the lunch hour, but...
Durrett, 2009) Two masked robbers try to rob a crowded bank during
the lunch hour, but the teller presses a button that sets off an
alarm and locks the front door.
3.30. Two Masked Robbers. (Durrett, 2009) Two masked robbers try to
rob a crowded bank during the lunch hour, but the teller presses a
button that sets off an alarm and locks the front door. The
robbers, realizing they are trapped, throw away their masks and
disappear into the chaotic crowd. Confronted with 40 people
claiming they are innocent, the police give everyone a lie detector
test. Suppose that guilty people are detected with a probability of
0.85 and innocent people appear to be guilty with a probability of
0.08. What is the probability that Mr. Smith was one of the robbers
given that the lie detector says he is a robber?