Statistics Name:__________________________________

Chapter 3 and 4 PRACTICE TEST

If you need additional space, use an extra sheet. 1. You pick a card and note its suit (heart, diamond, club,

spade) and then flip a coin. Construct a tree diagram and

then state the sample space.

Sample Space:

2. You need to pick a 4-character password consisting of

lowercase letters and numbers. How many passwords are

possible if:

a) Characters can repeat?

b) No character can repeat?

c) Characters can repeat but it must start and end with a

number?

3. You draw a card from the deck: P(three or queen).

Mutually exclusive or not:________________

Probability:

4. You draw a card from the deck: P(three or club).

Mutually exclusive or not:_______________

Probability:

5. There are 4 defective gadgets in every batch of 100. What

is the probability an inspection picks 3 gadgets (without

replacement) with the first being defective and the other

two not defective?

Independent or dependent:_____________________

Probability:

6. Two dice are rolled. What is the probability the first is odd

and the second is a prime number?

Independent or dependent:_____________________

Probability:

7. A survey is conducted concerning adults and kids’ favorite leisure activities.

a) Fill in the missing portions of the table.

Find the probability that a sampled person

b) enjoys games.

c) is a child given they enjoy reading.

d) enjoys movies given they are an adult.

8. How many different ways can you rearrange the letters in

“MONTANA”?

9. Determine whether the random variable x is discrete or

continuous.

a) Let x represent the elevation of a mountain.

b) Let x represent the number of movies playing in a theater.

10. State whether each is a permutation or a combination. Then

calculate the number of possibilities.

a) Awarding 1st, 2nd and 3rd place to 10 participants: ______

Number of possibilities:

b) Electing 2 captains from a team with 8 players: ________

Number of possibilities:

11. Two light bulbs are selected at random from a lot of 24, 4

of which are defective. What is the probability that:

a) 1 is defective and 1 is not?

b) At least 1 is defective?

12. A casino game has the following prizes and probabilities.

a) What is the probability you win

nothing?

b) What is the expected value of the prize?

c) If it costs $3 to play, is it wise to play? Justify.

13. Suppose that 20% of buildings in town are in violation of

building code. If a building inspector inspects 5 buildings

find the probability that:

Type of distribution? _____________________________

a) exactly three buildings will pass inspection.

b) at most 3 buildings will pass inspection.

c) at least 4 will pass inspection.

14. The probability that a car dealer will make a sale on any

given attempt is 0.10. Find the probability thier first sale of

the day is on the:

Type of distribution? _____________________________

a) 4th attempt.

b) 6th attempt.

c) Are any of these unusual?

15. The average number of homes sold by the Acme Realty

company is 2 homes per day. What is the probability that

tomorrow

Type of distribution? _____________________________

a) exactly three homes will be sold?

b) at least 5 homes will be sold?

c) Are any of these unusual?

16. Find the mean and standard deviation for the information in

Problem 13.

Mean:

Standard Deviation:

17. Make a probabilitiy distribution and histogram for the

information in Problem 13.