2.17 Based on murder rates in the United States, an Associated Press story reported that the probability that a newborn child has of eventually being a murder victim is 0.0263 for nonwhite males, 0.0049 for white males, 0.0072 for nonwhite females, and 0.0023 for white females.

a. Find the conditional odds ratios between race and whether a murder victim, given gender. Interpret. Do these variables exhibit homogeneous association?

b. Half the newborns are of each gender, for each race. Find the marginal odds ratio between race and whether a murder victim.