Answer:
a. 40 %
b. 34.3 % ( approx )
Step-by-step explanation:
Let S is the event of the subjects studied that were sent to prison,
S' is the event of the subjects studied that won't sent to prison,
G is the event of pleading guilty,
G' is the event of not pleading guilty,
According to the question,
P(S) = 60% = 0.6 ⇒ P(S') = 1 - P(S) = 1 - 0.6 = 0.4,
P(S∩G) = 46% of 60% = 0.46 × 0.60 = 0.276,
P(S'∩G) = 36% of 40% = 0.36 × 0.40 = 0.144,
P(G) = P(S∩G) + P(S'∩G) = 0.276 + 0.144 = 0.42
a. The of getting someone who was not sent to prison, P(S') = 0.4,
b. the probability that this person was not sent to prison when it is given that the subject entered a guilty plea,