The below tabular presentation represents a survey whereby different age respondents were asked about theiranimal preference:

	Preference
Age (years)	Dog	Cat	Undecided	Total
< 25	10	75	5	90
25 to 40	26	35	12	73
> 40	28	3	13	44
Total	64	113	30	207

SHOW YOUR WORKING and give your final answer as a fraction AND as a decimal(correct to two decimal places).

a) What is the probability that a respondent has a preference for dogs?

b) What is the probability that a respondenthas apreference forcatsandis more than 40 years old?

c)What is the probability that a respondentprefers catsoris less than 25 years old?

d) Are the events "undecided"and"less than 25years old" mutually exclusive.Briefly explain the reasoning behind your answer.