11 The following table shows people's ages cross classified against their attitude to proposed new drink driving laws:

Agree

Disagree

Undecided

Under 20 years

22

45

19

20 to 40 years

15

20

5

Over 40 years

27

26

7

What is the probability of randomly selecting one person from this survey who agrees with the proposed new drink driving laws given that they are over 40 years old?Give your answer as a decimal, to two decimal places, (NOT as a percentage).

12 After flipping a fair coin 5 times and getting 3 tails, what is the probability of getting a tail on the next flip? Give your answer to one decimal place.

13 Say, thatA and B are two independent events such that P(A) = 0.54 and P(B) = 0.29.

What is the value of P(A and B)?Give your answer to two decimal places.

14 You are told that A and B are two events, such that P(A) = 0.54 and

P(B) = 0.27, P(A and B) = 0.08

What is the value ofP(B given A)?Give your answer to two decimal places.

15 A cinema sells tickets at three different prices.The manager has estimated the followingdiscrete probability distribution:

X

P(X)

$9

0.3

$14

0.5

$21

0.2

What is the expected value of the ticket price?Please give your answer to two decimal places.Do NOT include units in your answer.

16 You are told that A and B are two events,such that

P(A) = 0.5 ,

P(B) = 0.39,

P(A and B) = 0.06

What is the value ofP(B given A)?Give your answer to two decimal places.

17 An investment opportunity has the following statistics: mean = 97andvariance = 284.

What is the value of the coefficient of variation, inpercentageform.Please give your answer to two decimal places.Do NOT include units in your answer.

18 You are given the following information:

Statistics

Mean

38

Median

41.2

Mode

67

Q1

16

Q3

41

Minimum

6

Maximum

97

What is the value of the interquartile range?

19 Find the variance of this sample of data.

10

14

5

Please give your answer to two decimal places.Do NOT include units in your answer.