In 1982 John Hinckley was on trial, accused of having attempted to kill the then US President Ronald Reagan. HintkleyI was found not guilty by reason of insanity. In some, but not all, cases, probability calculations are admissible in a court ofiaw. The defense sought to establish that brain scan results like John Hinckley's appeared in a higher percentage of schizophrenics than of normal people his age. During Hincldey's trial, an expert witness, Dr. Weinberger, told the court that when individuals suffering from schizophrenia were given computerized axial tomography (CAT) scans, the scans showed ora'rn atrophy in 30% of cases compared with only 2% of scans done on normal people. Health records show that 1.5% of the people in the United States suffer from schizophrenia. Hinckley's CAT scan showed brain atrophy. Calcuiate the probability that Hinckiey suffered from schizophrenia given his CAT scan showed brain atrophy Make sure you don't round any intermediate calculations. Round your nal answer to 3 decimals. E