Question

A random survey of Canadian adults was conducted to determine whether there is a relationship between party affiliation and opinion on gun control. The survey data are shown below:

	Better	Same	Worse
Republican	38	104	44
Democrat	12	87	137
None	21	90	118

a)What is the chance a randomly selected adult is opposed to gun control and affiliated with the

Liberal party?

b)If we randomly pick an adult who is undecided about gun control, what is the chance he/she is

affiliated with the Conservative party?

binomal distribution

Answer 1

Total People = 38 + 104 + 44 + 12 + 87 + 137 + 21 + 90 + 118 = 651

a) Probability that a randomly selected adult is opposed to gun control and affiliated with the Liberal party is computed here as:
= Total number of people worse by gun control and are republicans / Total number of people

= 44/651

= 0.0676

Therefore 0.0676 is the required probability here.

b) Given that someone who is undecided about gun control, probability that he/she is affiliated with the Conservative party is computed using Bayes theorem here as:
= Number of people undecided by gun control and affiliated with the democrat party / Total number of people undecided about gun control

= 87 / (104 + 87 + 90)

= 0.3096

Therefore 0.3096 is the required probability here.