Chapter 5 SmartBook

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. 2 5 6 3

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

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

12

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? 12 7 64 81

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

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

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

Choose the formula that states the Special Rule of Addition. P(A) + P(B) = P(A) / P(B) P(A + B) = P(A) * P(B) P(A and B) = P(A) - P(B) P(A or B) = P(A) + P(B)

P(A) + P(B) + P(C)

For three mutually exclusive events, A, B, and C, what is P(A or B or C)? This is the special rule of addition for three events. P(A and B) + P(A and C) P(A) + P(B) + P(C) P(A + B + C) P(A or B) + P(B or C)

m x n

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? m (n - 1) mn m + n m x n

25%

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? 1/10 20% 8/2 2/6 25%

The Joint Probability of A and B

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

P(A and B)

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

The initial probability based on the present level of knowledge.

In the context of Baye's Theorem, which of the following statements best describes a Prior Probability? The final probability at the end of the General Rule of Addition - P(A and B) The initial probability based on the present level of knowledge. The last probability at the end of the General Rule of Multiplication - P(A|B)

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

Match the numerical probability on the left to the outcome described on the right. .50 .33 .99 .000001 A flipped coin is "heads". A month from the year having exactly 30 days. You will sleep tonight. You'll win the Lottery.

.43 3/4

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

It describes the relative likelihood that an event will occur. It is a number between 0 and 1 inclusive,

Select all that apply Which of the following statements describe a probability? Select all that apply. A probability lies between minus one and plus one. It describes the relative likelihood that an event will occur. It is a number between 0 and 1 inclusive, It is always expressed as a percentage.

.6

Suppose that P(A)=0.20, P(B)=0.40, and the events are mutually exclusive. What is the probability of A or B occurring? .08 .4 .2 0 .6

Combination Formula (nCr)

The City Cafe is known for their vegetable plate lunch special that comes with four vegetables, cornbread, and sweet tea. If the four vegetables can be selected from a list of ten vegetables, what formula should be used to determine how many different vegetable plates are there? Assume no vegetable is selected more than once. Factorial Formula (n!) Combination Formula (nCr) Permutation Formula (nPr) Multiplication Formula (m*n)

P(A or B)

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

the past history of outcomes from the experiment

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

True

True or false: Prior probability is the initial probability based on the present level of information. True False

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

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.

0.3

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

Contingency table

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

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

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

D

A permutation is any arrangement of r objects selected from n possible objects. Which formula is used to calculate the number of permutations?

contingency

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

3

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. 2 5 3 6

Weighing the available information and assigning a probability.

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

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

Which of the following is a Conditional Probability? 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.

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

Which of the following is a Subjective Probability? 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.

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

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

Combination formula

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? Permutation formula Addition rule Multiplication formula Combination formula

The probability of not A.

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

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

Two events are independent if: 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