Download Statistics: Sample Test Chapter 4 Probability 1. A simple event is . 2

Statistics: Sample Test
Chapter 4 Probability
1.
2.
3.
4.
5.
6.
7.
8.
A simple event is _______________.
A sample space is ______________.
If two events are mutually exclusive, the probability that both will occur is _
The probability of an event is always ____________
The sum of probabilities of all final outcomes of an experiment is always _
The number of Combinations of n items selected n at a time is ______
The number of Permutations of n items selected 0 at a time is ________
The sample space for tossing 5 coin s consists of how many outcomes? ______
9. A quiz consists of 3 true-false questions, how many possible answer keys are there? ___
10. A pizza parlor offers 10 different toppings; how many four topping pizzas (different
toppings) are possible?
11. How many 6-letter code words can be made from the 26 letters of the alphabet if no letter
can be used more than once in the code word?
12. A random sample of 100 people was asked if they were for or against the tax increase on rich
people. Of 60 males 45 were in favor, of all females 22 were in favor. Write the contingency
table and answer the following questions. (Hint: Make up a table like Table 4-1 of page 152.)
If one person is selected at random, find the probability that:
a) This person favors the tax increase on rich people.
b) This person is a female.
c) This person opposes the tax increase on rich people given that the person is a female.
d) This person is a male given that he favors the tax increase on rich people.
e) This person is a female and favors the tax increase on rich people.
f) This person opposes the tax increase on rich people or is a female.
g) Are the events “females” and opposes the tax increase on rich people independent?
Explain.
h) Are they mutually exclusive? Explain.
13. Find the probability of getting the outcome of “Tails and 2” when a coin is tossed and a
die is rolled.
1
14. A box consists of 14 red and 36 blue markers. If we select 3 different markers randomly,
a. What is the probability that they are all red? (with replacement)
b. What is the probability that they are all red? (without a replacement) Draw a tree
diagram and label each branch.
15. If the probability of winning the race is 5/12,
a) What is the probability of losing the race?
b) What are odds against winning?
c) If the payoff odd is listed as 6:1, how much profit do you make if you bet $10 and
you win?
16. A classic counting problem is to determine the number of different ways that the letters
of "PERSONNEL" can be arranged. Find that number.
17. When two different people are randomly selected (from those in your class), find the
indicated probability (assume birthdays occur on the same day of the week with equal
frequencies).
a. Probability that two people are born on the same day of the week.
b. Probability that two people are both born on Monday.
18. How many different auto license plates are possible if the plate has:
a) 2 letters followed by 4 numbers?
b) 3 letters – no repeats, followed by 3 numbers - repetition allowed?
c) 4 letters – repetition allowed, followed by 2 numbers – no repeats?
d) 4 places – each character is either a letter or a number?
19. In a first grade school class, there are ten girls and eight boys. In how many ways can:
a. the students finish first, second and third in a foot race? (assume no ties)
b. the girls finish first and second in a geography contest? (assume no ties)
c. three boys be selected for lunch duty?
d. six students be selected for a hockey team?
e. five students be selected: 3 boys and 2 girls?
f. four girls be selected for a field trip?
2