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Chapter 7 by
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# Chapter 7

## Section 7.7

### Confusion of the Inverse

3 pieces of Information to determine probability of a positive test result being accurate., #1, #2, #3

### Coincidences

A coincidence is a surprising concurrence of events, perceived as meaningfully related, with no apparent causal connection.

## Section 7.3

### Assigning Probabilities to Simple Events

Two Conditions for Valid Probabilities

Probabilities for Equally Likely Simple Events

Key Terms, Sample Space, Event, Simple Event

### Complementary Events

One event is the complement of another event if the two events do not contain any of the same simple events and together they cover the entire sample space. For an event A, the notation A^c represents the complement of A.

### Mutually Exclusive Events

Two events are mutually exclusive they do not contain any of the same simple events (outcomes). The term disjoint is also used in the same regard.

Independent

Dependent

### Conditional Probabilites

The event B, given that the event A occurs, is the long-run relative frequency with which event B occurs when circumstances are such that a also occurs. This probability is written as P(B|A)

## Section 7.4

### Sampling with and Without Replacement

Larger samples do not require replacement, as the sample size would make the outcome insigificant.

With Replacement

Without Replacement

## Section 7.2

### The Relatice Frequency Interpretation of Probability situations

Buying lottery tickets regularly and observing how often you win

Drawing a student's name out of a hat and seeing how often a particular student is selected

Commuting to work daily and observing whether or not a certain traffic signal is red when we encounter it.

Surveying many adults and determining what proportion smokes

Observing births and noting how often the baby is a female