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1.The following contingency table shows the results of a random survey of age (years) and attitude to the proposed law to make voting in Australia

1.The following contingency table shows the results of a random survey of age (years) and attitude to the proposed law to make voting in Australia voluntary:

Agree Disagree Undecided
Under 25 11 70 44
25 to 50 50 66 29
Over 50 21 31 47

What is the probability that one randomly selected person from this sample disagrees or is under 25 years old?

Please provide your answer in decimal form or percentage form, correctly rounded to two decimal places.

If using percentage form, please do NOT include the % symbol.

2.You are told that P(A) = 0.5, P(B) = 0.4 and P(A or B) = 0.68

What is the value of P(A and B)?

Please provide your answer in decimal form or percentage form, correctly rounded to two decimal places.

3.You are told that P(A) = 0.4, P(B) = 0.4 and P(A and B) = 0.2

What is the probability of A given B?

Please provide your answer in decimal form or percentage form, correctly rounded to two decimal places.

If using percentage form, please do NOT include the % symbol.

4. A researcher wants to examine the relationship between opinion of a proposed new gas mine and the political party followed. The observed frequencies are summarized in the following table

Opinion
For Against Undecided
Political party followed Greens 27 13 8
Labor 15 22 14
Liberal 16 16 4

What is the total number of respondents in this survey?

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