The fоllоwing tаble shоws аctuаl data as to whether or not a person has been sent to prison based on his/her plea*. Use this table to answer the following questions. Unless indicated, leave your answers as fractions. You do not need to simplify. Plea and Corresponding Sentence Guilty Plea Not Guilty Plea Sent to Prison 392 58 Not Sent to Prison 564 14 Find the probability that a person was sent to prison, regardless of his/her plea. Find the probability that a person was sent to prison GIVEN that he or she pled guilty. The probability that a person was sent to prison after pleading Not Guilty is 0.806. Based on this result and your answer to part b, does the sentence appear to be impacted by the plea? Thoroughly explain your answer. Find the probability that a person pled guilty AND was sent to prison. Find the probability that a person pled guilty OR was sent to prison. *Based on actual data from "Does It Pay to Plead Guilty? Differential Sentencing and the Functioning of the Criminal Courts," by Brereton and Casper, Law and Society Review, Vol. 16, No. 1, as noted in the 5th edition of your book.