Please show ALL work

1. The following table describes whether or not a juvenile has been convicted and the disposition (outcome) of 514 petitioned (charged) juveniles:

convicted	placed	probabtion	other	dismissed
yes	85	231	51	7
no	2	33	4	101

a. What is the probability that a juvenile was placed?

b. What is the probability that a juvenile was convicted or dismissed?

c. What is the probability that a juvenile was convicted and placed?

d. If convicted, what is the probability of being placed?

e. If not convicted, what is the probability of being placed?