The following shows a three-dimensional contingency table from a study of the effects of racial characteristics on whether or not individuals convicted of homicide receive the death penalty. : The subjects classified were defendants in indictments involving cases with multiple murders in a certain country. Death penalty verdict by defendant's race and victim's race Death penalty Percent Defendant's race|Victim's race Yes No Yes White White 53 414 11.31 Black 16 0.0 Black White 11 37 22.9 Black 139 2.8 Collapsing the above three-way contingency table over victims' race (i.e., ignoring victim's race) yields the following 2-way table. There are 2 missing values (A and B). A is the percent of white defendants who received the death penalty, and B is the percent of black defendants who received the death penalty. Find the values of A and B. 'Death penalty Percent Defendant's race Yes No Yes White 53 430 Black 15 176 Comparing the original table with the one in part (a), what statistical phenomenon can you perceive? Explain briefly- Let y be the death penalty verdict (coded 1 = yes, 0 = no), d be an indicator variable for defendant's race (1 = white, 0 = black), and y be an indicator variable for victim's race (1 =white, 0 = black). The following shows the R output of the fitted model: Deviance messdualse coofficials Intercept-3.5961 -7.095 L dot-12 0. 3671 2 3647 6.0181 2464 4 0.6506 4.004 6.246-15 simil cedro: 050 001 1 0.01 - 0205 (Dispersion parameter for binomial family taken to be 1) Well device? 410.04 on 6 degrees of Freedom Cevince 428-96 04 degrees of freedom AIGH 424-96 riber of Fisher scoring iterationsl 5 Write down the prediction equation. d. What is the name of the underlying model in part (c) called? Interpret the sign of each of the coefficients (except the intercept) in terms of the probability of receiving the