I then fit a logistic Model with Gender and Class as a covariate. Use the output below to answer questions (a) - (d). Estimate Std. Error Z value Pr(>|z|) (Intercept) 2.0312 0.1691 12.01 0.0000 Male -2.3719 0.1438 -16.49 0.0000 Class 1 1.6475 0.1670 9.87 0.0000 Class 2 0.7021 0.1727 4.07 0.0000 (a) What are the proposed and fitted logistic regression model corresponding to the output? (b) What is the odds ratio of survival for first class passengers compared to third class passengers (hint: third class is not shown in the table, it is the reference group)? (c) What is the probability of survival for third class males? (d) What is the odds ratio of survival for first class, female passengers compared to third class, male passengers