A large company surveys workers in 3 of its 204 factories about the effect of policy changes. What sampling technique are they using?

a) multi-stage random sampling

b) simple random sampling

c) cluster sampling

d) stratified random sampling

Let A represent the event that it will snow today. If P(A) = 0.25, determine P(A').

a) 0.65

b) 0.75

c) none of the above

d) 0.25

A box contains 8 yellow, 6 green, and 8 red candies. If you randomly select 4 candies from the box, what is the probability that three are yellow and one is red.

a) 0.0231

b) 0.0612

c) 0.0153

d) 0.0925

In a binomial distribution, the value for 'p' is 0.23. Therefore, the value for 'q' is:

a) 0.77

b) 0.27

c) 0.87

d) 0.23

A container has 9 blue marbles, 6 red marbles, 7 green marbles, and 3 yellow marbles. A red marble is removed and not replaced. What is the probability that the next marble will be green?

a) 5/24

b) 7/23

c) 7/24

d) 5/23

What are the odds against Emily and John being born on the same day of the week?

a) 1:7

b) 7:1

c) 6.1

d) 1.6

Two events are mutually exclusive and independent. If P(A) = 0.54 and P(B) = 0.2, what is the probability of getting A or B?

a) 0.108

b) 0.52

c) 0.74

d) 0.2

Given the data set 9, 3, 4, 7, 4, 6, 2 find the mean and mode (in that order)

a) 7,4

b) 4,4

c) 5,4

d) 4,5

A box contains 12 green marbles and 8 red marbles. Two are chosen randomly, one at a time, without replacement. Determine the probability that you draw a green marble followed by a red marble.

a) 0.253

b) 0.505

c) 0.5

d) 0.0026

e) 0.253

If P(A) = 0.5, P(AUB) = 0.7, and P(B) = 0.4, the value of P(AnB) is:

a) 1.4

b) 0.0

c) 0.1

d) 0.2

If a data set has a normal distribution, what percentage of the data falls between x and x + 20?

a) 0.68

b) 0.34

c) 0.95

d) 0.475

How many different arrangements are there using all the letters in the word CELESTIAL?

a) 362880

b) 90720

c) 5040

d) 181440

Which of the following is a quantitative variable?

a) the texture of a rug

b) the breed of a dog

c) the numbers of toppings on a pizza

d) the colour of a person's hair

Let A be the set of face cards (Jack, Queen, King) and B be the set of all of the diamonds in a regular deck of cards. Which statement is not true?

a) N(A U B) = 22

b) N(A) = 9

c) N(A and B) = 3

d) n(B) =13

At your favourite restaurant, you can choose between 8 appetizers, 6 main courses, and 4 desserts. If you decide to choose 1 appetizer, 1 main course, and 1 dessert, how many different ways are there for you to do this?

a) 13200

b) 18

c) 140

d) 192

What is the number in row 9, position 7, of Pascal's triangle?

a) 36

b) 84

c) 8

d) 28

For a linear regression, r= 0.42. What kind of correlation exists between the variables?

a) no correlation

b) weak correlation

c) strong correlation

d) moderate correlation

e) very strong correlation