Chapter 5

In the Venn diagram shown, what is the Joint Probability? Multiple choice question. P(A and B) P(A) - P(B) P(A) + P(B) P(A or B)

P(A and B)

Choose the best description of independent events. Multiple choice question. The occurrence of one event has no effect on the probability the other will occur. One event can occur whether or not the other event occurs. The occurrence of one events means that the other event must not occur.

The occurrence of one event has no effect on the probability the other will occur.

The Special Rule of Addition describes how to calculate which of the following probabilities? Multiple choice question. P(A|B) P(A or B) P(A and B)

P(A or B) Reason: P(A or B)=P(A) +P(B)

Which of the following statements best describes permutations? Multiple select question. The order is important Total number of arrangements is equal to m x n Any arrangement of r objects selected from a single group of n possible objects The order is not important

The order is important Any arrangement of r objects selected from a single group of n possible objects

In a random experiment there are 8 possible outcomes, and two of them correspond to a favorable event. What is the classical probability of the event? Multiple choice question. 1/10 2/6 25% 8/2 20%

25%

Given the following contingency table, how many branches go out from the root to the first column? Assume 'Movies Attended' is represented as the first stage of the tree diagram. Multiple choice question. 5 6 3 2

3

Which of the following numbers could represent a probability that an event will occur? Select all that apply. Multiple select question. 3/4 1.2 110% 5/4 -0.3 .43

3/4 .43 Probabilities are never negative. A probability cannot be greater than one. Percentages can't be greater than 100%.

Which of the following expressions accurately represents the General Rule of Addition? Multiple choice question. P(A or B) = P(A) + P(B) - P(A and B) P(A and B) = P(A) + P(B) - P(A or B) P(A or B) = P(A) + P(B) P(A or B) = [P(A) + P(B)] / P(A and B)

P(A or B) = P(A) + P(B) - P(A and B)

Which of the following met the requirements for a probability experiment?

Roll a die. Answer a true or false question. Toss one coin.

What is the assumption upon which classical probability is based? That all events are equally likely. That the outcomes of an experiment are equally likely. That events are made up of more than one outcomes. That the number events is less than the number of outcomes.

That the outcomes of an experiment are equally likely.

How would you read the formula P(~A)? Multiple choice question. The approximate probability of A The probability of A The probability of not A. The probability of about A.

The probability of not A.

An experiment may have

one or more outcomes.

In a random experiment there are 8 possible outcomes, and two of them correspond to a favorable event. What is the classical probability of the event? Multiple choice question. 20% 2/6 1/10 25% 8/2

.25%

What is the answer for P(~A) if P(A) = 0.7? Multiple choice question. 0 1 0.7 0.3

.3 1- P(A) = 0.3

Match the numerical probability on the left to the outcome described on the right. .50 .33 .99 .000001

.50 A flipped coin is "heads". .33 A month from the year having 30 days. .99 You will sleep tonight. .000001 You'll win the Lottery.

Suppose that P(X)=0.20, P(Y)=0.40, P(Z)=0.25, and the events are mutually exclusive. What is the probability of X, Y, or Z occurring? Multiple choice question. .25 0 .02 .85 .2

.85 .20+.40+.25=.85 x+y+z=

A particular brand of cell phone case is available in four different styles and each style comes in three colors. How many different cases are available? Multiple choice question. 81 64 12 7

12

A developer of a new subdivision wants to build homes that are all different. There are three different interior plans that can be combined with any of five different home exteriors. How many different homes can be built? Multiple Choice 8 10 15 30

15

Some people are in favor of reducing federal taxes to increase consumer spending and others are against it. Two persons are selected and their opinions are recorded. Assume no one is undecided.Find the number of possible outcomes.

4 There are four possible outcomes: In favor, In favor In favor, Not in favor Not in favor, In favor Not in favor, Not in favor.

Given the following contingency table, how many conditional probabilities are listed for the second set of branches? Assume 'Movies Attended' is represented as the first stage of the tree diagram. Multiple choice question. 2 6 5 3

6

Given the following contingency table, how many conditional probabilities are listed for the second set of branches? Assume 'Movies Attended' is represented as the first stage of the tree diagram. Multiple choice question. 3 6 2 5

6 for each category of 'movies attended,' there are two branches (one for each gender)

Choose the statement that best defines the term "experiment" in the context of probability. Multiple choice question. A process that leads to only one of several possible outcomes. A process that may or may not confirm a hypothesis. A test conducted by scientists in a laboratory

A process that leads to only one of several possible outcomes.

Identical prizes are to be given to two winners from a group of 12 contestants. What counting formula would you use to determine how many ways the prizes could be given out? Multiple choice question. Multiplication formula Combination formula Addition rule Permutation formula

Combination formula

What is the name of a table, such as the one shown, that shows the relationship between two variables? Multiple choice question. Contingency table Relational table Frequency table Scatter diagram

Contingency table

What is the name of a table, such as the one shown, that shows the relationship between two variables? Multiple choice question. Relational table Frequency table Contingency table Scatter diagram

Contingency table

A combination of a set of objects is defined by the order of the objects. True or False

False

Which of the following are true regarding the Special Rule of Addition and the General Rule of Addition? Select all that apply. Multiple select question. If the events A and B are mutually exclusive, you can use the Special Rule of Addition. If P(A and B) > 0 you can use the Special Rule of Addition. If the events A and B are not mutually exclusive, you can use the General Rule of Addition. If the events A and B are collectively exhaustive you can use the Special Rule of Addition.

If the events A and B are mutually exclusive, you can use the Special Rule of Addition. If the events A and B are not mutually exclusive, you can use the General Rule of Addition.

Which of the following is a Subjective Probability? Multiple choice question. If you apply for a job after graduation, your chance of getting the job is 83%. The chance Stephen Curry will make a free throw is 92%. If you toss three coins the chance of getting all "heads" is one eighth.

If you apply for a job after graduation, your chance of getting the job is 83%.

Which of the following is a Subjective Probability? Multiple choice question. If you toss three coins the chance of getting all "heads" is one eighth. The chance Stephen Curry will make a free throw is 92%. If you apply for a job after graduation, your chance of getting the job is 83%.

If you apply for a job after graduation, your chance of getting the job is 83%. Because his is subjective, because there is no history for your own mortality,

In the Venn diagram shown, the area where the circles overlap is P(A and B). What is this area called? Multiple choice question. The Joint Probability of A and B The intersection of A and B. The Complementary probability of A and B The Exclusive probability of A and B.

The Joint Probability of A and B

Which of the following is a Conditional Probability? Multiple choice question. The chance a high school student will do well in college given the student scored well on the ACT. The chance that it will rain today or it will rain tomorrow. The chance that a coin will come up 'tails' on the first flip and 'heads' on the second flip.

The chance a high school student will do well in college given the student scored well on the ACT.

Which approach to probability is exemplified by the following formula?Probability of an event = Number of times event occurred in the past/Total number of observations Multiple Choice The classical approach The empirical approach The subjective approach None of these answers are correct.

The empirical approach

How do you calculate classical probability? The number of events divided by the number of possible outcomes. Number of actual outcomes divided by the number of possible outcomes. The number of favorable outcomes divided by the number of possible outcomes.

The number of favorable outcomes divided by the number of possible outcomes.

How do you calculate classical probability? Multiple choice question. The number of events divided by the number of possible outcomes. The number of favorable outcomes divided by the number of possible outcomes. Number of actual outcomes divided by the number of possible outcomes.

The number of favorable outcomes divided by the number of possible outcomes.

A bowl contains three red and four yellow marbles. You randomly select two marbles from the bowl. Which of the following is a conditional probability? Assume the second marble is drawn from the marbles remaining after the first draw. Multiple choice question. The probability that the first marble will be red or one second marble will be yellow. The probability that the second marble will be red, if the first one was yellow. The probability that both of the marbles will be yellow. The probability that one marble will be red and the other will be yellow.

The probability that the second marble will be red, if the first one was yellow.

What is Empirical Probability? The likelihood of an event that is suggested by an individual. The ratio of favorable outcomes to possible outcomes. The relative frequency with which the event happened in the past.

The relative frequency with which the event happened in the past.

When an event's probability depends on the occurrence of another event, the probability is a(n) ___________. Multiple Choice conditional probability empirical probability joint probability mutually exclusive probability

conditional probability

A table used to classify observations according to two or more identifiable characteristics, and often used to determine probabilities is called a ______ table. Multiple choice question. contingency classical empirical frequency

contingency

The probability of two or more events occurring concurrently is called a(n) _______. Multiple Choice conditional probability empirical probability joint probability tree diagram

joint probability

If there are m ways of doing one thing and n ways of doing another, how many ways are there to do both? For example, if a toy comes in m colors and n sizes, how many different toys can there be? Multiple choice question. m x n m (n - 1) m + n mn

m x n

A permutation is any arrangement of r objects selected from n possible objects. Which formula is used to calculate the number of permutations? Multiple choice question. nPr = n!r!�!�! nPr = n!(n−r)!�!(�-�)! nPr = n x r nPr = n!r!(n−r)!

nPr = n!/(n−r)!

A method of assigning probabilities based upon judgment, opinions, and available information is referred to as the _____.

subjective method

Two events are independent if: Multiple choice question. the occurrence of one event does not change the likelihood that the other will occur either event can occur with or without the other the occurrence of one event precludes the occurrence of the other event

the occurrence of one event does not change the likelihood that the other will occur

The value given for an Empirical Probability is based on: Multiple choice question. someone's "best guess" based on his knowledge of the situation the ratio of favorable outcomes to possible outcomes to the experiment the past history of outcomes from the experiment

the past history of outcomes from the experiment

If two events are independent, then their joint probability is computed with _______. Multiple Choice the special rule of addition the special rule of multiplication the general rule of multiplication the Bayes' theorem

the special rule of multiplication

What does the complement rule state? Multiple Choice P(A) = P(A) − P(B) P(A) = 1 − P(not A) P(A) = P(A) × P(B) P(A) = P(A)X + P(B)

P(A) = 1 − P(not A)

Select the methodology that would result in a Subjective probability. Multiple choice question. Counting the number of favorable outcomes and dividing by the recorded total number of outcomes. Dividing the number of favorable events by the number of possible events. Weighing the available information and assigning a probability.

Weighing the available information and assigning a probability.

A graphical method used to calculate joint and conditional probabilities is _______. Multiple Choice a tree diagram a Venn diagram a histogram inferential statistics

a tree diagram