The table alongside gives the age distribution Age distribution of prison inmates of prison inmates as of December 31, 2007. A prisoner was released on January 1, 2008. Age Female Male Total Find the probability that: 15 6 6 16 5 a the prisoner was male 23 28 17 - 19 26 122 448 the prisoner was aged between 17 and 19 20 - 24 41 1124 1165 c the prisoner was 19 or under given that 25 - 29 36 1001 1037 the prisoner was female 30 - 34 32 751 783 d the prisoner was 19 or under given that 35 - 39 31 520 551 the prisoner was male 40 - 49 24 593 617 @ the prisoner was female given that the 50 - 59 16 234 250 prisoner was aged 60+. 60- 5 148 153 Total 216 4822 5038