The British Board of Trade made an inquiry into the demographics of those who did or did not survive the Titanic sinking. For each person on board the maiden voyage of the ocean liner, this dataset records gender (0=female, 1=male), age (0=child, 1=adult), economic status (1=first, 2= second, 3=third), and whether or not that person survived (0=no, 1= yes). The dataset is as follows, where entries in the table have the form m_ij/n_ij where m_ij is the number who survived and n_ij is the number on board the ship:

Females			Males
Class	Children	Adults	Class	Children	Adults
First	1/1	139/144	First	5/5	57/175
Second	13/13	80/93	Second	11/11	14/168
Third	14/31	70/165	Third	13/48	75/462

1. I fit a logistic Model with Gender, Class, and Age as a covariate. Use the output below to answer questions (a) - (f).

	Estimate	Std. Error	Z value	Pr(>|z|)
(Intercept)	1.2955	0.2478	5.23	0.0000
Male	-2.3695	0.1453	-16.31	0.0000
Class 1	1.7664	0.1707	10.35	0.0000
Class 2	0.7558	0.1753	4.31	0.0000
Age	-1.0556	0.2427	-4.35	0.0000

a. What are the proposed and fitted logistic regression model corresponding to the output?

b. What is probability of survival for 1^st class boys (i.e., male children)?

c. What is probability of survival for 2nd class girls (i.e., female children)?

d. What is probability of survival for 3rd class girls (i.e., female children)?

e. What is the odds ratio of survival for first class, male children compared to second class, male children?

f. What is the odds ratio of survival for second class, female children compared to third class, male children?