6.18 In Exercise 6.4, we were interested in the causes of death and its relationship to sex, age, race, and so on As we did there, let X be the random variable associated with cause of death and Y be...

Extracted text: 6.18 In Exercise 6.4, we were interested in the causes of death and its relationship to sex, age, race, and so on As we did there, let X be the random variable associated with cause of death and Y be the random variable representing sex. Cause of Death Female Male Total Accidents (unintentional injuries) Congenital Problems Assault (homicide) 617 1024 1641 248 282 530 189 234 423 Other 998 1266 2264 Total 2052 2806 4858 Source: CDCN/NCHS. What is the probability that a randomly selected male in this age range who died had a congenital problem leading to his death? What is the probability that a child aged 1 to 4 who died as a consequence of a homicide was a female? Find the conditional distribution of cause of death given that the child was a male. Find the conditional distribution of sex given that the death was accidental. e Are the cause of death and sex independent? Justify your answer.