statistics name: chapter 3 and 4 practice test if you ......chapter 3 and 4 practice test if you...
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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.
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