Question: In A particular state 90% murderers.......  Edit

Answer: The probability that a randomly selected lifer is male = 0.7*0.9=0.63

The probability that a randomly selected lifer killed a female = 0.90*0.20=0.18

The probability that a randomly selected lifer is male or killed a female =0.63+0.18 =0.81

The probability that a randomly selected lifer is male and killed a female= 0.63*0.18 = 0.113

The probability of male killer being sentence to life =0.90*0.63 = 0.567

The probability of female killer being sentence to life = 0.10*0.18 = 0.018

The probability that a randomly selected killer sentence to lifer =0.567+0.018 = 0.585  Edit