A survey was conducted sampling 400 people. Participants were asked if they were union members (Union/Nonunion) and about their attitude towards decreased federal spending on social welfare programs (Support/Indifferent/Opposed). The answers are presented in the following table Support Indifferent Opposed Total Union 112 36 28 176

Nonunion 84 68 72 224

Total 196 104 100 400

Consider randomly drawing one individual from the table

(a) (2 marks) What is the probability the individual is indifferent towards a decrease in federal spending on social welfare programs? (

b) (4 marks) What is the probability that given the individual is in a union, they are indifferent towards a decrease in federal spending on social welfare programs?

(c) (3 marks) Are the events being a union member and being indifferent towards a decrease in federal spending on social welfare programs independent?