Cindy, Jane, and Amanda witnessed a bank robbery. At trial, Cindy testified that Lefty did not enter the bank, and if Howard pulled a gun, then Conrad collected the money. Jane testified that if Howard did not pull a gun, then Lefty entered the bank. Amanda testified that if Conrad collected the money, then Howard pulled a gun. (a)Show whether it possible that all three witnesses told the truth.(b)Assuming that all witnesses told the truth, what can we conclude about Lefty, Howard, and Conrad