Bayes Theorem Crime and Punishment:  In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.    I need help with excel spread sheet for the following:  (A) If one of the study subjects is randomly selected, find the probability of getting someone who was not sent to prison. (B) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, find the probability that this person was not sent to prison.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Bayes Theorem

Crime and Punishment:  In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.   

I need help with excel spread sheet for the following: 

(A) If one of the study subjects is randomly selected, find the probability of getting someone who was not sent to prison.

(B) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, find the probability that this person was not sent to prison. 

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