Question

# 1. Suppose that a bag contains 3 red chips and 7 white chips. Suppose that chips...

1. Suppose that a bag contains 3 red chips and 7 white chips. Suppose that chips are drawn from the bag with replacement, i.e. the chips are returned to the bag and shuffled before the next chip is selected. Identify the correct statement.

 a. If many chips are selected then, in the long run, approximately 30% will be red. b. If ten chips are selected then three will definitely be red. c. If seven consecutive white chips are selected then the next chip will definitely be red. d. If ten chips are selected then seven will definitely be white.

2. An activity consists of choosing a student at random and recording their gender and their grade level. Which one of the following gives the sample space for the activity?

 a. S = { Fresh., Soph., Jun., Sen. } b. S = { M, F } c. S = { (M, Fresh.), (M, Soph.), (M, Jun.), (M, Sen.), (F, Fresh.), (F, Soph.), (F, Jun.), (F, Sen.) } d. S = { M, F, Fresh., Soph., Jun., Sen. }

3.

Let     A = {a, e, k, m} B = {b, g, h, r, w} C = {d, k n}     D = {m, r}.

Which of the following pairs of sets are disjoint? Choose all that apply.

 a. A and B are disjoint. b. C and D are disjoint. c. A and D are disjoint. d. B and D are disjoint. e. A and C are disjoint. f. B and C are disjoint.

4.

At a popular coffee shop one Saturday morning 60% of the customers purchase coffee, 30% purchase a bagel, and 25% purchase both. Suppose that a customer is selected at random. What is the probability that the customer purchases a coffee or a bagel?

 a. 0.65 b. 0.9 c. 0.15 d. 0.4

5.

Which one of the following does not describe an activity that results in independent outcomes?

 a. Flipping a coin three times. b. Rolling a six-sided die two times. c. Picking four M&Ms from a bowl and eating each one before the next pick. d. Drawing five cards one-at-a-time, with replacement, from a well-shuffled deck.

6.

Use the following information for the next five problems. The following table gives the probabilities associated with the faces of an unfair or unbalanced or rigged die.

 Roll 1 2 3 4 5 6 Probability 0.1 0.2 ?? 0.4 0.1 0.15

Suppose the die is rolled once. What is the chance that the roll is a 3 or a 4?

 a. 0.45 b. 0.4 c. 0.43 d. 0.05

7.

Suppose the die is rolled once. What is the chance that the roll is not a 2?

 a. 0.80 b. c. 0.75 d. 0.20

8.

Suppose the die is rolled twice. What is the chance that both rolls are 4?

 a. 0.16 b. 0.4 c. 0.2 d. 0.8

9.

Suppose the die is rolled twice. What is the chance that neither roll is 1?

 a. 1.8 b. 0.9 c. 0.99 d. 0.81

10.

Suppose the die is rolled three times. What is the chance that at least one of the three rolls is 5?

 a. 0.271 b. 0.3 c. 0.1 d. 0.729

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